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106953156 = 2233990307
BaseRepresentation
bin1100101111111…
…11100111000100
321110020210011000
412113333213010
5204340000111
614340213300
72436041532
oct627774704
9243223130
10106953156
1155410542
122b99a230
13192095bb
14102c1152
1595c9c56
hex65ff9c4

106953156 has 24 divisors (see below), whose sum is σ = 277286240. Its totient is φ = 35651016.

The previous prime is 106953139. The next prime is 106953163. The reversal of 106953156 is 651359601.

106953156 is a `hidden beast` number, since 10 + 69 + 531 + 56 = 666.

It is a super-2 number, since 2×1069531562 = 22877955156720672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 106953156.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 495046 + ... + 495261.

Almost surely, 2106953156 is an apocalyptic number.

It is an amenable number.

106953156 is an abundant number, since it is smaller than the sum of its proper divisors (170333084).

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

106953156 is a wasteful number, since it uses less digits than its factorization.

106953156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990320 (or 990312 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 106953156 is about 10341.8158947063. The cubic root of 106953156 is about 474.6766493696.

The spelling of 106953156 in words is "one hundred six million, nine hundred fifty-three thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 990307 1980614 2970921 3961228 5941842 8912763 11883684 17825526 26738289 35651052 53476578 106953156