109116434400 has 144 divisors (see below), whose sum is σ = 370616529024. Its totient is φ = 27832583680.

The previous prime is 109116434363. The next prime is 109116434407. The reversal of 109116434400 is 4434611901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109116434407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 933174 + ... + 1043573.

It is an arithmetic number, because the mean of its divisors is an integer number (2573725896).

Almost surely, 2^109116434400 is an apocalyptic number.

109116434400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

109116434400 is an abundant number, since it is smaller than the sum of its proper divisors (261500094624).

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

109116434400 is a wasteful number, since it uses less digits than its factorization.

109116434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1976793 (or 1976780 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 109116434400 in words is "one hundred nine billion, one hundred sixteen million, four hundred thirty-four thousand, four hundred".