105020285920 has 96 divisors (see below), whose sum is σ = 273456733536. Its totient is φ = 37795430400.

The previous prime is 105020285917. The next prime is 105020285927. The reversal of 105020285920 is 29582020501.

It is a happy number.

It is a super-2 number, since 2×105020285920² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105020285927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136861 + ... + 478300.

It is an arithmetic number, because the mean of its divisors is an integer number (2848507641).

Almost surely, 2^105020285920 is an apocalyptic number.

105020285920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105020285920 is an abundant number, since it is smaller than the sum of its proper divisors (168436447616).

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

105020285920 is a wasteful number, since it uses less digits than its factorization.

105020285920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615284 (or 615276 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The spelling of 105020285920 in words is "one hundred five billion, twenty million, two hundred eighty-five thousand, nine hundred twenty".