109874880 has 224 divisors, whose sum is σ = 394898880. Its totient is φ = 29113344.

The previous prime is 109874879. The next prime is 109874903. The reversal of 109874880 is 88478901.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 699762 + ... + 699918.

Almost surely, 2^109874880 is an apocalyptic number.

109874880 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 109874880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197449440).

109874880 is an abundant number, since it is smaller than the sum of its proper divisors (285024000).

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

109874880 is an frugal number, since it uses more digits than its factorization.

109874880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 109874880 is about 10482.1219225880. The cubic root of 109874880 is about 478.9602493734.

The spelling of 109874880 in words is "one hundred nine million, eight hundred seventy-four thousand, eight hundred eighty".