105025521040 has 80 divisors (see below), whose sum is σ = 267240145536. Its totient is φ = 38068198400.

The previous prime is 105025521037. The next prime is 105025521053. The reversal of 105025521040 is 40125520501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105025521040² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105025520996 and 105025521014.

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, 81804 + ... + 465556.

Almost surely, 2^105025521040 is an apocalyptic number.

105025521040 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 105025521040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133620072768).

105025521040 is an abundant number, since it is smaller than the sum of its proper divisors (162214624496).

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

105025521040 is a wasteful number, since it uses less digits than its factorization.

105025521040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384088 (or 384082 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The spelling of 105025521040 in words is "one hundred five billion, twenty-five million, five hundred twenty-one thousand, forty".