105260917900 has 72 divisors (see below), whose sum is σ = 242102316960. Its totient is φ = 39586698240.

The previous prime is 105260917829. The next prime is 105260917903. The reversal of 105260917900 is 9719062501.

It is a super-2 number, since 2×105260917900² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105260917903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1639606 + ... + 1702594.

It is an arithmetic number, because the mean of its divisors is an integer number (3362532180).

Almost surely, 2^105260917900 is an apocalyptic number.

105260917900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105260917900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121051158480).

105260917900 is an abundant number, since it is smaller than the sum of its proper divisors (136841399060).

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

105260917900 is a wasteful number, since it uses less digits than its factorization.

105260917900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64003 (or 63996 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 40.

The spelling of 105260917900 in words is "one hundred five billion, two hundred sixty million, nine hundred seventeen thousand, nine hundred".