109952640 has 384 divisors, whose sum is σ = 454446720. Its totient is φ = 24883200.

The previous prime is 109952621. The next prime is 109952669. The reversal of 109952640 is 46259901.

109952640 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 5 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 109952595 and 109952604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1088590 + ... + 1088690.

It is an arithmetic number, because the mean of its divisors is an integer number (1183455).

Almost surely, 2^109952640 is an apocalyptic number.

109952640 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 109952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227223360).

109952640 is an abundant number, since it is smaller than the sum of its proper divisors (344494080).

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

109952640 is an equidigital number, since it uses as much as digits as its factorization.

109952640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 109952640 is about 10485.8304392165. The cubic root of 109952640 is about 479.0732117005.

It can be divided in two parts, 109952 and 640, that added together give a cube (110592 = 48³).

The spelling of 109952640 in words is "one hundred nine million, nine hundred fifty-two thousand, six hundred forty".