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105933976 = 2329714457
BaseRepresentation
bin1100101000001…
…10110010011000
321101100000002121
412110012302120
5204104341401
614302311024
72424265261
oct624066230
9241300077
10105933976
1154884845
122b588474
1318c40735
14100d7968
159477ca1
hex6506c98

105933976 has 16 divisors (see below), whose sum is σ = 198737640. Its totient is φ = 52937280.

The previous prime is 105933973. The next prime is 105934001. The reversal of 105933976 is 679339501.

It is a happy number.

It is a super-2 number, since 2×1059339762 = 22444014542337152, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105933973) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 21540 + ... + 25996.

Almost surely, 2105933976 is an apocalyptic number.

105933976 is the 6510-th centered pentagonal number.

It is an amenable number.

105933976 is a deficient number, since it is larger than the sum of its proper divisors (92803664).

105933976 is a wasteful number, since it uses less digits than its factorization.

105933976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7434 (or 7430 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 43.

The square root of 105933976 is about 10292.4232326503. The cubic root of 105933976 is about 473.1640687292.

The spelling of 105933976 in words is "one hundred five million, nine hundred thirty-three thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 2971 4457 5942 8914 11884 17828 23768 35656 13241747 26483494 52966988 105933976