109945680 has 160 divisors (see below), whose sum is σ = 371226240. Its totient is φ = 26757120.

The previous prime is 109945669. The next prime is 109945697. The reversal of 109945680 is 86549901.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 408586 + ... + 408854.

It is an arithmetic number, because the mean of its divisors is an integer number (2320164).

Almost surely, 2^109945680 is an apocalyptic number.

109945680 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 109945680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185613120).

109945680 is an abundant number, since it is smaller than the sum of its proper divisors (261280560).

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

109945680 is a wasteful number, since it uses less digits than its factorization.

109945680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 109945680 is about 10485.4985575317. The cubic root of 109945680 is about 479.0631030456.

The spelling of 109945680 in words is "one hundred nine million, nine hundred forty-five thousand, six hundred eighty".