105440055525 has 72 divisors (see below), whose sum is σ = 218259512640. Its totient is φ = 47659518720.

The previous prime is 105440055521. The next prime is 105440055527. The reversal of 105440055525 is 525550044501.

105440055525 is a `hidden beast` number, since 10 + 54 + 40 + 0 + 5 + 552 + 5 = 666.

It is not a de Polignac number, because 105440055525 - 2² = 105440055521 is a prime.

It is a super-2 number, since 2×105440055525² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105440055525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105440055521) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 235927 + ... + 516276.

It is an arithmetic number, because the mean of its divisors is an integer number (3031382120).

Almost surely, 2^105440055525 is an apocalyptic number.

105440055525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105440055525 is an abundant number, since it is smaller than the sum of its proper divisors (112819457115).

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

105440055525 is a wasteful number, since it uses less digits than its factorization.

105440055525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752315 (or 752307 counting only the distinct ones).

The product of its (nonzero) digits is 100000, while the sum is 36.

The spelling of 105440055525 in words is "one hundred five billion, four hundred forty million, fifty-five thousand, five hundred twenty-five".