107400405 has 48 divisors (see below), whose sum is σ = 204215040. Its totient is φ = 48037248.

The previous prime is 107400401. The next prime is 107400431. The reversal of 107400405 is 504004701.

It is not a de Polignac number, because 107400405 - 2² = 107400401 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107400401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32991 + ... + 36099.

It is an arithmetic number, because the mean of its divisors is an integer number (4254480).

Almost surely, 2^107400405 is an apocalyptic number.

107400405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

107400405 is a deficient number, since it is larger than the sum of its proper divisors (96814635).

107400405 is a wasteful number, since it uses less digits than its factorization.

107400405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3178 (or 3171 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 107400405 is about 10363.4166663316. The cubic root of 107400405 is about 475.3373854188.

The spelling of 107400405 in words is "one hundred seven million, four hundred thousand, four hundred five".