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106156127 = 7114729333
BaseRepresentation
bin1100101001111…
…01000001011111
321101202021211102
412110331001133
5204133444002
614311143315
72426212040
oct624750137
9241667742
10106156127
1154a16740
122b674b3b
1318cba89c
14101548c7
1594bda02
hex653d05f

106156127 has 16 divisors (see below), whose sum is σ = 135171072. Its totient is φ = 80956320.

The previous prime is 106156117. The next prime is 106156139. The reversal of 106156127 is 721651601.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106156127 is a prime.

It is a super-2 number, since 2×1061561272 = 22538246599280258, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106156127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106156117) 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, 11048 + ... + 18285.

It is an arithmetic number, because the mean of its divisors is an integer number (8448192).

Almost surely, 2106156127 is an apocalyptic number.

106156127 is a deficient number, since it is larger than the sum of its proper divisors (29014945).

106156127 is a wasteful number, since it uses less digits than its factorization.

106156127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29398.

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 106156127 is about 10303.2095484854. The cubic root of 106156127 is about 473.4945905738.

The spelling of 106156127 in words is "one hundred six million, one hundred fifty-six thousand, one hundred twenty-seven".

Divisors: 1 7 11 47 77 329 517 3619 29333 205331 322663 1378651 2258641 9650557 15165161 106156127