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106157337 = 31113353701
BaseRepresentation
bin1100101001111…
…01010100011001
321101202100111020
412110331110121
5204134013322
614311153053
72426215416
oct624752431
9241670436
10106157337
1154a17640
122b675789
1318cbb2c0
141015510d
1594be05c
hex653d519

106157337 has 32 divisors (see below), whose sum is σ = 166997376. Its totient is φ = 59136000.

The previous prime is 106157321. The next prime is 106157339. The reversal of 106157337 is 733751601.

It is not a de Polignac number, because 106157337 - 24 = 106157321 is a prime.

It is a super-2 number, since 2×1061573372 = 22538760397863138, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 106157298 and 106157307.

It is not an unprimeable number, because it can be changed into a prime (106157339) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151087 + ... + 151787.

It is an arithmetic number, because the mean of its divisors is an integer number (5218668).

Almost surely, 2106157337 is an apocalyptic number.

It is an amenable number.

106157337 is a deficient number, since it is larger than the sum of its proper divisors (60840039).

106157337 is a wasteful number, since it uses less digits than its factorization.

106157337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081.

The product of its (nonzero) digits is 13230, while the sum is 33.

The square root of 106157337 is about 10303.2682678847. The cubic root of 106157337 is about 473.4963895790.

The spelling of 106157337 in words is "one hundred six million, one hundred fifty-seven thousand, three hundred thirty-seven".

Divisors: 1 3 11 13 33 39 143 353 429 701 1059 2103 3883 4589 7711 9113 11649 13767 23133 27339 50479 100243 151437 247453 300729 742359 2721983 3216889 8165949 9650667 35385779 106157337