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106347332 = 227131915377
BaseRepresentation
bin1100101011010…
…11101101000100
321102010000010002
412111223231010
5204211103312
614315220432
72430636350
oct625535504
9242100102
10106347332
1155037363
122b747718
1319056920
14101a4460
15950a4c2
hex656bb44

106347332 has 48 divisors (see below), whose sum is σ = 241127040. Its totient is φ = 39854592.

The previous prime is 106347289. The next prime is 106347341. The reversal of 106347332 is 233743601.

It is a happy number.

It is a super-2 number, since 2×1063473322 = 22619510047036448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106347295 and 106347304.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 773 + ... + 14604.

It is an arithmetic number, because the mean of its divisors is an integer number (5023480).

Almost surely, 2106347332 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 106347332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120563520).

106347332 is an abundant number, since it is smaller than the sum of its proper divisors (134779708).

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

106347332 is a wasteful number, since it uses less digits than its factorization.

106347332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15420 (or 15418 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 29.

The square root of 106347332 is about 10312.4842787759. The cubic root of 106347332 is about 473.7787011385.

The spelling of 106347332 in words is "one hundred six million, three hundred forty-seven thousand, three hundred thirty-two".

Divisors: 1 2 4 7 13 14 19 26 28 38 52 76 91 133 182 247 266 364 494 532 988 1729 3458 6916 15377 30754 61508 107639 199901 215278 292163 399802 430556 584326 799604 1168652 1399307 2045141 2798614 3798119 4090282 5597228 7596238 8180564 15192476 26586833 53173666 106347332