108904640292 has 288 divisors, whose sum is σ = 334312602624. Its totient is φ = 30356726400.

The previous prime is 108904640269. The next prime is 108904640311. The reversal of 108904640292 is 292046409801.

108904640292 is a `hidden beast` number, since 10 + 8 + 90 + 464 + 0 + 2 + 92 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54369763 + ... + 54371765.

It is an arithmetic number, because the mean of its divisors is an integer number (1160807648).

Almost surely, 2^108904640292 is an apocalyptic number.

108904640292 is a gapful number since it is divisible by the number (12) 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 108904640292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167156301312).

108904640292 is an abundant number, since it is smaller than the sum of its proper divisors (225407962332).

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

108904640292 is a wasteful number, since it uses less digits than its factorization.

108904640292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2221 (or 2207 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 108904640292 in words is "one hundred eight billion, nine hundred four million, six hundred forty thousand, two hundred ninety-two".