105525345204 has 72 divisors (see below), whose sum is σ = 270098829000. Its totient is φ = 34733850624.

The previous prime is 105525345193. The next prime is 105525345221. The reversal of 105525345204 is 402543525501.

105525345204 is a `hidden beast` number, since 1 + 0 + 552 + 53 + 4 + 52 + 0 + 4 = 666.

105525345204 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 12102200100 + 93423145104 = 110010^2 + 305652^2 .

It is a super-2 number, since 2×105525345204² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2442462 + ... + 2485290.

It is an arithmetic number, because the mean of its divisors is an integer number (3751372625).

Almost surely, 2^105525345204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105525345204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135049414500).

105525345204 is an abundant number, since it is smaller than the sum of its proper divisors (164573483796).

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

105525345204 is a wasteful number, since it uses less digits than its factorization.

105525345204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43697 (or 43692 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 105525345204 in words is "one hundred five billion, five hundred twenty-five million, three hundred forty-five thousand, two hundred four".