105525256420 has 24 divisors (see below), whose sum is σ = 222570747000. Its totient is φ = 42025777152.

The previous prime is 105525256411. The next prime is 105525256427. The reversal of 105525256420 is 24652525501.

It can be written as a sum of positive squares in 4 ways, for example, as 66836726784 + 38688529636 = 258528^2 + 196694^2 .

It is a super-2 number, since 2×105525256420² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105525256420.

It is not an unprimeable number, because it can be changed into a prime (105525256427) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11515645 + ... + 11524804.

It is an arithmetic number, because the mean of its divisors is an integer number (9273781125).

Almost surely, 2^105525256420 is an apocalyptic number.

105525256420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105525256420 is an abundant number, since it is smaller than the sum of its proper divisors (117045490580).

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

105525256420 is a wasteful number, since it uses less digits than its factorization.

105525256420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23040687 (or 23040685 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 37.

The spelling of 105525256420 in words is "one hundred five billion, five hundred twenty-five million, two hundred fifty-six thousand, four hundred twenty".