105607564034 has 32 divisors (see below), whose sum is σ = 187057228800. Its totient is φ = 43759206720.

The previous prime is 105607563967. The next prime is 105607564063. The reversal of 105607564034 is 430465706501.

It is a super-2 number, since 2×105607564034² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105607563982 and 105607564000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 350132 + ... + 577760.

It is an arithmetic number, because the mean of its divisors is an integer number (5845538400).

Almost surely, 2^105607564034 is an apocalyptic number.

105607564034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

105607564034 is a deficient number, since it is larger than the sum of its proper divisors (81449664766).

105607564034 is a wasteful number, since it uses less digits than its factorization.

105607564034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228738.

The product of its (nonzero) digits is 302400, while the sum is 41.

The spelling of 105607564034 in words is "one hundred five billion, six hundred seven million, five hundred sixty-four thousand, thirty-four".