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105136631 is a prime number
BaseRepresentation
bin1100100010001…
…00000111110111
321022211111100022
412101010013313
5203403333011
614233235355
72414434535
oct621040767
9238744308
10105136631
115438a786
122b262b5b
1318a21832
14dd6b155
15936b8db
hex64441f7

105136631 has 2 divisors, whose sum is σ = 105136632. Its totient is φ = 105136630.

The previous prime is 105136607. The next prime is 105136637. The reversal of 105136631 is 136631501.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105136631 is a prime.

It is a super-2 number, since 2×1051366312 = 22107422356060322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105136631.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105136637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52568315 + 52568316.

It is an arithmetic number, because the mean of its divisors is an integer number (52568316).

Almost surely, 2105136631 is an apocalyptic number.

105136631 is a deficient number, since it is larger than the sum of its proper divisors (1).

105136631 is an equidigital number, since it uses as much as digits as its factorization.

105136631 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 105136631 is about 10253.6155086877. The cubic root of 105136631 is about 471.9739389398.

The spelling of 105136631 in words is "one hundred five million, one hundred thirty-six thousand, six hundred thirty-one".