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106085157 = 3471734349
BaseRepresentation
bin1100101001010…
…11101100100101
321101121200110220
412110223230211
5204124211112
614305434553
72425465113
oct624535445
9241550426
10106085157
1154978392
122b63ba59
1318c944a9
1410136ab3
1594a798c
hex652bb25

106085157 has 16 divisors (see below), whose sum is σ = 145324800. Its totient is φ = 68802752.

The previous prime is 106085153. The next prime is 106085173. The reversal of 106085157 is 751580601.

It is a cyclic number.

It is not a de Polignac number, because 106085157 - 22 = 106085153 is a prime.

It is a super-2 number, since 2×1060851572 = 22508121071429298, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106085153) 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, 22219 + ... + 26567.

It is an arithmetic number, because the mean of its divisors is an integer number (9082800).

Almost surely, 2106085157 is an apocalyptic number.

It is an amenable number.

106085157 is a deficient number, since it is larger than the sum of its proper divisors (39239643).

106085157 is a wasteful number, since it uses less digits than its factorization.

106085157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4572.

The product of its (nonzero) digits is 8400, while the sum is 33.

The square root of 106085157 is about 10299.7649002295. The cubic root of 106085157 is about 473.3890497904.

The spelling of 106085157 in words is "one hundred six million, eighty-five thousand, one hundred fifty-seven".

Divisors: 1 3 47 141 173 519 4349 8131 13047 24393 204403 613209 752377 2257131 35361719 106085157