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106076157 = 31114932153
BaseRepresentation
bin1100101001010…
…01011111111101
321101121020010120
412110221133331
5204123414112
614305325153
72425426635
oct624513775
9241536116
10106076157
1154971650
122b6367b9
1318c90375
14101336c5
1594a4e8c
hex65297fd

106076157 has 16 divisors (see below), whose sum is σ = 154467648. Its totient is φ = 64215680.

The previous prime is 106076153. The next prime is 106076167. The reversal of 106076157 is 751670601.

It is a cyclic number.

It is not a de Polignac number, because 106076157 - 22 = 106076153 is a prime.

It is a super-2 number, since 2×1060761572 = 22504302167777298, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106076153) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 48193 + ... + 50345.

It is an arithmetic number, because the mean of its divisors is an integer number (9654228).

Almost surely, 2106076157 is an apocalyptic number.

It is an amenable number.

106076157 is a deficient number, since it is larger than the sum of its proper divisors (48391491).

106076157 is a wasteful number, since it uses less digits than its factorization.

106076157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3660.

The product of its (nonzero) digits is 8820, while the sum is 33.

The square root of 106076157 is about 10299.3279877864. The cubic root of 106076157 is about 473.3756623632.

The spelling of 106076157 in words is "one hundred six million, seventy-six thousand, one hundred fifty-seven".

Divisors: 1 3 11 33 1493 2153 4479 6459 16423 23683 49269 71049 3214429 9643287 35358719 106076157