105065337500 has 36 divisors (see below), whose sum is σ = 229815743976. Its totient is φ = 42026130000.

The previous prime is 105065337497. The next prime is 105065337581. The reversal of 105065337500 is 5733560501.

It is a super-2 number, since 2×105065337500² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

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, 4190114 + ... + 4215113.

It is an arithmetic number, because the mean of its divisors is an integer number (6383770666).

Almost surely, 2^105065337500 is an apocalyptic number.

105065337500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105065337500 is an abundant number, since it is smaller than the sum of its proper divisors (124750406476).

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

105065337500 is an frugal number, since it uses more digits than its factorization.

105065337500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8405256 (or 8405234 counting only the distinct ones).

The product of its (nonzero) digits is 47250, while the sum is 35.

The spelling of 105065337500 in words is "one hundred five billion, sixty-five million, three hundred thirty-seven thousand, five hundred".