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106160652 = 22331383911
BaseRepresentation
bin1100101001111…
…10001000001100
321101202112001000
412110332020030
5204134120102
614311220300
72426231163
oct624761014
9241675030
10106160652
1154a1a084
122b677690
1318cbc970
14101563da
1594c001c
hex653e20c

106160652 has 96 divisors (see below), whose sum is σ = 300303360. Its totient is φ = 32235840.

The previous prime is 106160633. The next prime is 106160653. The reversal of 106160652 is 256061601.

It is a happy number.

106160652 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 6 + 0 + 652 = 666.

It is a super-2 number, since 2×1061606522 = 22540168066130208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106160653) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116077 + ... + 116987.

It is an arithmetic number, because the mean of its divisors is an integer number (3128160).

Almost surely, 2106160652 is an apocalyptic number.

106160652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106160652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150151680).

106160652 is an abundant number, since it is smaller than the sum of its proper divisors (194142708).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106160652 is a wasteful number, since it uses less digits than its factorization.

106160652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 106160652 is about 10303.4291379133. The cubic root of 106160652 is about 473.5013181886.

The spelling of 106160652 in words is "one hundred six million, one hundred sixty thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 83 108 117 156 166 234 249 332 351 468 498 702 747 911 996 1079 1404 1494 1822 2158 2241 2733 2988 3237 3644 4316 4482 5466 6474 8199 8964 9711 10932 11843 12948 16398 19422 23686 24597 29133 32796 35529 38844 47372 49194 58266 71058 75613 98388 106587 116532 142116 151226 213174 226839 302452 319761 426348 453678 639522 680517 907356 982969 1279044 1361034 1965938 2041551 2722068 2948907 3931876 4083102 5897814 8166204 8846721 11795628 17693442 26540163 35386884 53080326 106160652