109455840 has 192 divisors, whose sum is σ = 412776000. Its totient is φ = 26929152.

The previous prime is 109455833. The next prime is 109455859. The reversal of 109455840 is 48554901.

109455840 is a `hidden beast` number, since 10 + 94 + 558 + 4 + 0 = 666.

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 = 109455795 and 109455804.

It is a congruent number.

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, 55186 + ... + 57134.

It is an arithmetic number, because the mean of its divisors is an integer number (2149875).

Almost surely, 2^109455840 is an apocalyptic number.

109455840 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 109455840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206388000).

109455840 is an abundant number, since it is smaller than the sum of its proper divisors (303320160).

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

109455840 is a wasteful number, since it uses less digits than its factorization.

109455840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1986 (or 1972 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 109455840 is about 10462.1145090273. The cubic root of 109455840 is about 478.3505886634.

The spelling of 109455840 in words is "one hundred nine million, four hundred fifty-five thousand, eight hundred forty".