105260814200 has 48 divisors (see below), whose sum is σ = 259127365680. Its totient is φ = 39627599360.

The previous prime is 105260814199. The next prime is 105260814229. The reversal of 105260814200 is 2418062501.

It is a super-2 number, since 2×105260814200² (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 11 ways as a sum of consecutive naturals, for example, 15476132 + ... + 15482931.

It is an arithmetic number, because the mean of its divisors is an integer number (5398486785).

Almost surely, 2^105260814200 is an apocalyptic number.

105260814200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105260814200 is an abundant number, since it is smaller than the sum of its proper divisors (153866551480).

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

105260814200 is a wasteful number, since it uses less digits than its factorization.

105260814200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30959096 (or 30959087 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

Adding to 105260814200 its reverse (2418062501), we get a palindrome (107678876701).

The spelling of 105260814200 in words is "one hundred five billion, two hundred sixty million, eight hundred fourteen thousand, two hundred".