105113397510 has 96 divisors (see below), whose sum is σ = 315677505312. Its totient is φ = 23983088640.

The previous prime is 105113397497. The next prime is 105113397541. The reversal of 105113397510 is 15793311501.

105113397510 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 133 + 9 + 7 + 510 = 666.

It is a super-2 number, since 2×105113397510² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3105969 + ... + 3139628.

It is an arithmetic number, because the mean of its divisors is an integer number (3288307347).

Almost surely, 2^105113397510 is an apocalyptic number.

105113397510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105113397510 is an abundant number, since it is smaller than the sum of its proper divisors (210564107802).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105113397510 is a wasteful number, since it uses less digits than its factorization.

105113397510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6245638 (or 6245635 counting only the distinct ones).

The product of its (nonzero) digits is 14175, while the sum is 36.

The spelling of 105113397510 in words is "one hundred five billion, one hundred thirteen million, three hundred ninety-seven thousand, five hundred ten".