107455040 has 224 divisors, whose sum is σ = 329184000. Its totient is φ = 33116160.

The previous prime is 107455027. The next prime is 107455087. The reversal of 107455040 is 40554701.

It is a tau number, because it is divible by the number of its divisors (224).

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, 1207316 + ... + 1207404.

Almost surely, 2^107455040 is an apocalyptic number.

107455040 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 107455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164592000).

107455040 is an abundant number, since it is smaller than the sum of its proper divisors (221728960).

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

107455040 is an equidigital number, since it uses as much as digits as its factorization.

107455040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 26.

The square root of 107455040 is about 10366.0522861888. The cubic root of 107455040 is about 475.4179737419.

The spelling of 107455040 in words is "one hundred seven million, four hundred fifty-five thousand, forty".