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106315974 = 23247125669
BaseRepresentation
bin1100101011001…
…00000011000110
321102001102002200
412111210003012
5204204102344
614314415330
72430446052
oct625440306
9242042080
10106315974
1155015846
122b731546
131904557b
1410196c62
159501069
hex65640c6

106315974 has 24 divisors (see below), whose sum is σ = 235254240. Its totient is φ = 34684368.

The previous prime is 106315969. The next prime is 106315987. The reversal of 106315974 is 479513601.

106315974 is a `hidden beast` number, since 1 + 0 + 63 + 1 + 597 + 4 = 666.

It is a super-2 number, since 2×1063159742 = 22606172655137352, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61989 + ... + 63680.

It is an arithmetic number, because the mean of its divisors is an integer number (9802260).

Almost surely, 2106315974 is an apocalyptic number.

106315974 is an abundant number, since it is smaller than the sum of its proper divisors (128938266).

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

106315974 is a wasteful number, since it uses less digits than its factorization.

106315974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125724 (or 125721 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 106315974 is about 10310.9637764857. The cubic root of 106315974 is about 473.7321297994.

The spelling of 106315974 in words is "one hundred six million, three hundred fifteen thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 18 47 94 141 282 423 846 125669 251338 377007 754014 1131021 2262042 5906443 11812886 17719329 35438658 53157987 106315974