109916820 has 144 divisors (see below), whose sum is σ = 363242880. Its totient is φ = 26742528.

The previous prime is 109916819. The next prime is 109916837. The reversal of 109916820 is 28619901.

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 47 ways as a sum of consecutive naturals, for example, 250161 + ... + 250599.

It is an arithmetic number, because the mean of its divisors is an integer number (2522520).

Almost surely, 2^109916820 is an apocalyptic number.

109916820 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 109916820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181621440).

109916820 is an abundant number, since it is smaller than the sum of its proper divisors (253326060).

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

109916820 is a wasteful number, since it uses less digits than its factorization.

109916820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 109916820 is about 10484.1222808588. The cubic root of 109916820 is about 479.0211824321.

The spelling of 109916820 in words is "one hundred nine million, nine hundred sixteen thousand, eight hundred twenty".