105339492600 has 96 divisors (see below), whose sum is σ = 333500440320. Its totient is φ = 27492853120.

The previous prime is 105339492589. The next prime is 105339492623. The reversal of 105339492600 is 6294933501.

It is a happy number.

It is a super-2 number, since 2×105339492600² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1839522 + ... + 1895921.

It is an arithmetic number, because the mean of its divisors is an integer number (3473962920).

Almost surely, 2^105339492600 is an apocalyptic number.

105339492600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105339492600 is an abundant number, since it is smaller than the sum of its proper divisors (228160947720).

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

105339492600 is a wasteful number, since it uses less digits than its factorization.

105339492600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3735509 (or 3735500 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The spelling of 105339492600 in words is "one hundred five billion, three hundred thirty-nine million, four hundred ninety-two thousand, six hundred".