109408992 has 288 divisors, whose sum is σ = 387120384. Its totient is φ = 26265600.

The previous prime is 109408987. The next prime is 109408993. The reversal of 109408992 is 299804901.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109408993) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2668492 + ... + 2668532.

It is an arithmetic number, because the mean of its divisors is an integer number (1344168).

Almost surely, 2^109408992 is an apocalyptic number.

109408992 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 109408992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193560192).

109408992 is an abundant number, since it is smaller than the sum of its proper divisors (277711392).

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

109408992 is a wasteful number, since it uses less digits than its factorization.

109408992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 109408992 is about 10459.8753338651. The cubic root of 109408992 is about 478.2823329287.

The spelling of 109408992 in words is "one hundred nine million, four hundred eight thousand, nine hundred ninety-two".