105623589120 has 144 divisors (see below), whose sum is σ = 385526198400. Its totient is φ = 24142528512.

The previous prime is 105623589119. The next prime is 105623589161. The reversal of 105623589120 is 21985326501.

It is a super-2 number, since 2×105623589120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1937845 + ... + 1991604.

Almost surely, 2^105623589120 is an apocalyptic number.

105623589120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105623589120 is an abundant number, since it is smaller than the sum of its proper divisors (279902609280).

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

105623589120 is an equidigital number, since it uses as much as digits as its factorization.

105623589120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3929480 (or 3929466 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The spelling of 105623589120 in words is "one hundred five billion, six hundred twenty-three million, five hundred eighty-nine thousand, one hundred twenty".