105020880960 has 224 divisors, whose sum is σ = 357528936960. Its totient is φ = 26024214528.

The previous prime is 105020880959. The next prime is 105020880961. The reversal of 105020880960 is 69088020501.

It is an interprime number because it is at equal distance from previous prime (105020880959) and next prime (105020880961).

It is a super-2 number, since 2×105020880960² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105020880961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1248552 + ... + 1330008.

Almost surely, 2^105020880960 is an apocalyptic number.

105020880960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105020880960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178764468480).

105020880960 is an abundant number, since it is smaller than the sum of its proper divisors (252508056000).

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

105020880960 is a wasteful number, since it uses less digits than its factorization.

105020880960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81573 (or 81563 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The spelling of 105020880960 in words is "one hundred five billion, twenty million, eight hundred eighty thousand, nine hundred sixty".