105152253804 has 144 divisors (see below), whose sum is σ = 289929337152. Its totient is φ = 31940407296.

The previous prime is 105152253799. The next prime is 105152253821. The reversal of 105152253804 is 408352251501.

105152253804 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 522 + 53 + 80 + 4 = 666.

It is a super-2 number, since 2×105152253804² (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16241512 + ... + 16247984.

Almost surely, 2^105152253804 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 105152253804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144964668576).

105152253804 is an abundant number, since it is smaller than the sum of its proper divisors (184777083348).

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

105152253804 is a wasteful number, since it uses less digits than its factorization.

105152253804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6936 (or 6931 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 105152253804 in words is "one hundred five billion, one hundred fifty-two million, two hundred fifty-three thousand, eight hundred four".