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106264956 = 22372774567
BaseRepresentation
bin1100101010101…
…11100101111100
321101221211010010
412111113211330
5204200434311
614313343220
72430144240
oct625274574
9241854103
10106264956
1154a90486
122b707b10
1319028295
1410182420
1594e0da6
hex655797c

106264956 has 48 divisors (see below), whose sum is σ = 284458496. Its totient is φ = 30245184.

The previous prime is 106264913. The next prime is 106264957. The reversal of 106264956 is 659462601.

It is a super-2 number, since 2×1062649562 = 22584481747363872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106264957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20985 + ... + 25551.

Almost surely, 2106264956 is an apocalyptic number.

It is an amenable number.

106264956 is an abundant number, since it is smaller than the sum of its proper divisors (178193540).

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

106264956 is a wasteful number, since it uses less digits than its factorization.

106264956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4858 (or 4856 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 106264956 is about 10308.4895110778. The cubic root of 106264956 is about 473.6563408346.

The spelling of 106264956 in words is "one hundred six million, two hundred sixty-four thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 277 554 831 1108 1662 1939 3324 3878 4567 5817 7756 9134 11634 13701 18268 23268 27402 31969 54804 63938 95907 127876 191814 383628 1265059 2530118 3795177 5060236 7590354 8855413 15180708 17710826 26566239 35421652 53132478 106264956