105136713 has 24 divisors (see below), whose sum is σ = 167207040. Its totient is φ = 63128160.

The previous prime is 105136673. The next prime is 105136753. The reversal of 105136713 is 317631501.

It is an interprime number because it is at equal distance from previous prime (105136673) and next prime (105136753).

It is not a de Polignac number, because 105136713 - 2¹⁰ = 105135689 is a prime.

It is a super-2 number, since 2×105136713² = 22107456840888738, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105136753) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5920 + ... + 15662.

It is an arithmetic number, because the mean of its divisors is an integer number (6966960).

Almost surely, 2^105136713 is an apocalyptic number.

It is an amenable number.

105136713 is a deficient number, since it is larger than the sum of its proper divisors (62070327).

105136713 is a wasteful number, since it uses less digits than its factorization.

105136713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9869 (or 9866 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 105136713 is about 10253.6195072764. The cubic root of 105136713 is about 471.9740616432.

The spelling of 105136713 in words is "one hundred five million, one hundred thirty-six thousand, seven hundred thirteen".