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106164708 = 223132931757
BaseRepresentation
bin1100101001111…
…11000111100100
321101202201121020
412110333013210
5204134232313
614311251140
72426246046
oct624770744
9241681536
10106164708
1154a22131
122b679ab0
1318cc1770
1410157a96
1594c1323
hex653f1e4

106164708 has 96 divisors (see below), whose sum is σ = 285250560. Its totient is φ = 30481920.

The previous prime is 106164701. The next prime is 106164727. The reversal of 106164708 is 807461601.

It is a happy number.

It is a super-2 number, since 2×1061647082 = 22541890449450528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106164701) 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, 139866 + ... + 140622.

It is an arithmetic number, because the mean of its divisors is an integer number (2971360).

Almost surely, 2106164708 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106164708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142625280).

106164708 is an abundant number, since it is smaller than the sum of its proper divisors (179085852).

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

106164708 is a wasteful number, since it uses less digits than its factorization.

106164708 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 106164708 is about 10303.6259637081. The cubic root of 106164708 is about 473.5073483477.

The spelling of 106164708 in words is "one hundred six million, one hundred sixty-four thousand, seven hundred eight".

Divisors: 1 2 3 4 6 12 13 26 29 31 39 52 58 62 78 87 93 116 124 156 174 186 348 372 377 403 754 757 806 899 1131 1209 1508 1514 1612 1798 2262 2271 2418 2697 3028 3596 4524 4542 4836 5394 9084 9841 10788 11687 19682 21953 23374 23467 29523 35061 39364 43906 46748 46934 59046 65859 70122 70401 87812 93868 118092 131718 140244 140802 263436 281604 285389 305071 570778 610142 680543 856167 915213 1141556 1220284 1361086 1712334 1830426 2041629 2722172 3424668 3660852 4083258 8166516 8847059 17694118 26541177 35388236 53082354 106164708