107040400 has 30 divisors (see below), whose sum is σ = 257165522. Its totient is φ = 42816000.

The previous prime is 107040383. The next prime is 107040403. The reversal of 107040400 is 4040701.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1115136 + 105925264 = 1056^2 + 10292^2 .

It is a super-2 number, since 2×107040400² = 22915294464320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (107040403) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 133401 + ... + 134200.

Almost surely, 2^107040400 is an apocalyptic number.

107040400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107040400 is an abundant number, since it is smaller than the sum of its proper divisors (150125122).

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

107040400 is a wasteful number, since it uses less digits than its factorization.

107040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267619 (or 267608 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 107040400 is about 10346.0330562008. The cubic root of 107040400 is about 474.8056822903.

The spelling of 107040400 in words is "one hundred seven million, forty thousand, four hundred".