105305542404 has 48 divisors (see below), whose sum is σ = 246619054080. Its totient is φ = 34972631200.

The previous prime is 105305542357. The next prime is 105305542409. The reversal of 105305542404 is 404245503501.

105305542404 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105305542404² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105305542409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3808429 + ... + 3835979.

It is an arithmetic number, because the mean of its divisors is an integer number (5137896960).

Almost surely, 2^105305542404 is an apocalyptic number.

It is an amenable number.

105305542404 is an abundant number, since it is smaller than the sum of its proper divisors (141313511676).

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

105305542404 is a wasteful number, since it uses less digits than its factorization.

105305542404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28720 (or 28718 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The spelling of 105305542404 in words is "one hundred five billion, three hundred five million, five hundred forty-two thousand, four hundred four".