93279905104 has 80 divisors (see below), whose sum is σ = 192864084480. Its totient is φ = 43603112960.

The previous prime is 93279905101. The next prime is 93279905149. The reversal of 93279905104 is 40150997239.

It is a super-2 number, since 2×93279905104² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93279905101) 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, 14196732 + ... + 14203300.

It is an arithmetic number, because the mean of its divisors is an integer number (2410801056).

Almost surely, 2^93279905104 is an apocalyptic number.

93279905104 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93279905104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96432042240).

93279905104 is an abundant number, since it is smaller than the sum of its proper divisors (99584179376).

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

93279905104 is a wasteful number, since it uses less digits than its factorization.

93279905104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7468 (or 7462 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 49.

The spelling of 93279905104 in words is "ninety-three billion, two hundred seventy-nine million, nine hundred five thousand, one hundred four".