107041640 has 32 divisors (see below), whose sum is σ = 241171560. Its totient is φ = 42758400.

The previous prime is 107041631. The next prime is 107041643. The reversal of 107041640 is 46140701.

It can be written as a sum of positive squares in 4 ways, for example, as 100681156 + 6360484 = 10034^2 + 2522^2 .

It is a super-2 number, since 2×107041640² = 22915825387779200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107041643) 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, 39530 + ... + 42150.

Almost surely, 2^107041640 is an apocalyptic number.

107041640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107041640 is an abundant number, since it is smaller than the sum of its proper divisors (134129920).

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

107041640 is a wasteful number, since it uses less digits than its factorization.

107041640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3653 (or 3649 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 107041640 is about 10346.0929823775. The cubic root of 107041640 is about 474.8075157313.

The spelling of 107041640 in words is "one hundred seven million, forty-one thousand, six hundred forty".