109938420 has 72 divisors (see below), whose sum is σ = 344995560. Its totient is φ = 28304640.

The previous prime is 109938383. The next prime is 109938421. The reversal of 109938420 is 24839901.

It can be written as a sum of positive squares in 4 ways, for example, as 44036496 + 65901924 = 6636^2 + 8118^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109938421) 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, 5311 + ... + 15750.

It is an arithmetic number, because the mean of its divisors is an integer number (4791605).

Almost surely, 2^109938420 is an apocalyptic number.

109938420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

109938420 is an abundant number, since it is smaller than the sum of its proper divisors (235057140).

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

109938420 is a wasteful number, since it uses less digits than its factorization.

109938420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21105 (or 21100 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 109938420 is about 10485.1523594080. The cubic root of 109938420 is about 479.0525582181.

The spelling of 109938420 in words is "one hundred nine million, nine hundred thirty-eight thousand, four hundred twenty".