107460640 has 48 divisors (see below), whose sum is σ = 290146752. Its totient is φ = 36843264.

The previous prime is 107460607. The next prime is 107460643. The reversal of 107460640 is 46064701.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 107460599 and 107460608.

It is not an unprimeable number, because it can be changed into a prime (107460643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46854 + ... + 49093.

It is an arithmetic number, because the mean of its divisors is an integer number (6044724).

Almost surely, 2^107460640 is an apocalyptic number.

107460640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107460640 is an abundant number, since it is smaller than the sum of its proper divisors (182686112).

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

107460640 is an equidigital number, since it uses as much as digits as its factorization.

107460640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95969 (or 95961 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 107460640 is about 10366.3223951409. The cubic root of 107460640 is about 475.4262323724.

The spelling of 107460640 in words is "one hundred seven million, four hundred sixty thousand, six hundred forty".