109249920 has 192 divisors, whose sum is σ = 406551600. Its totient is φ = 26873856.

The previous prime is 109249891. The next prime is 109249951. The reversal of 109249920 is 29942901.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74151 + ... + 75609.

Almost surely, 2^109249920 is an apocalyptic number.

109249920 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 109249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203275800).

109249920 is an abundant number, since it is smaller than the sum of its proper divisors (297301680).

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

109249920 is a wasteful number, since it uses less digits than its factorization.

109249920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 109249920 is about 10452.2686532637. The cubic root of 109249920 is about 478.0504256368.

The spelling of 109249920 in words is "one hundred nine million, two hundred forty-nine thousand, nine hundred twenty".