110398680 has 256 divisors, whose sum is σ = 445824000. Its totient is φ = 23721984.

The previous prime is 110398669. The next prime is 110398693. The reversal of 110398680 is 86893011.

110398680 = 1135² + 1136² + ... + 1214².

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 63 ways as a sum of consecutive naturals, for example, 128091 + ... + 128949.

It is an arithmetic number, because the mean of its divisors is an integer number (1741500).

Almost surely, 2^110398680 is an apocalyptic number.

110398680 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 110398680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222912000).

110398680 is an abundant number, since it is smaller than the sum of its proper divisors (335425320).

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

110398680 is a wasteful number, since it uses less digits than its factorization.

110398680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 110398680 is about 10507.0776146367. The cubic root of 110398680 is about 479.7201493726.

The spelling of 110398680 in words is "one hundred ten million, three hundred ninety-eight thousand, six hundred eighty".