10102505105 has 64 divisors (see below), whose sum is σ = 16458854400. Its totient is φ = 5760357120.

The previous prime is 10102505071. The next prime is 10102505111. The reversal of 10102505105 is 50150520101.

It is a happy number.

It is not a de Polignac number, because 10102505105 - 2¹² = 10102501009 is a prime.

It is a super-2 number, since 2×10102505105² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 188324 + ... + 235946.

It is an arithmetic number, because the mean of its divisors is an integer number (257169600).

Almost surely, 2^10102505105 is an apocalyptic number.

It is an amenable number.

10102505105 is a deficient number, since it is larger than the sum of its proper divisors (6356349295).

10102505105 is a wasteful number, since it uses less digits than its factorization.

10102505105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47694.

The product of its (nonzero) digits is 250, while the sum is 20.

The spelling of 10102505105 in words is "ten billion, one hundred two million, five hundred five thousand, one hundred five".