109204920 has 288 divisors, whose sum is σ = 410810400. Its totient is φ = 25090560.

The previous prime is 109204919. The next prime is 109204969. The reversal of 109204920 is 29402901.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1001826 + ... + 1001934.

It is an arithmetic number, because the mean of its divisors is an integer number (1426425).

Almost surely, 2^109204920 is an apocalyptic number.

109204920 is a gapful number since it is divisible by the number (10) 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 109204920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205405200).

109204920 is an abundant number, since it is smaller than the sum of its proper divisors (301605480).

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

109204920 is a wasteful number, since it uses less digits than its factorization.

109204920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 109204920 is about 10450.1157888322. The cubic root of 109204920 is about 477.9847803607.

The spelling of 109204920 in words is "one hundred nine million, two hundred four thousand, nine hundred twenty".