107429200 has 30 divisors (see below), whose sum is σ = 258099614. Its totient is φ = 42971520.

The previous prime is 107429191. The next prime is 107429219. The reversal of 107429200 is 2924701.

It can be written as a sum of positive squares in 3 ways, for example, as 678976 + 106750224 = 824^2 + 10332^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 133887 + ... + 134686.

Almost surely, 2^107429200 is an apocalyptic number.

107429200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107429200 is an abundant number, since it is smaller than the sum of its proper divisors (150670414).

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

107429200 is a wasteful number, since it uses less digits than its factorization.

107429200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268591 (or 268580 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 107429200 is about 10364.8058351327. The cubic root of 107429200 is about 475.3798623442.

The spelling of 107429200 in words is "one hundred seven million, four hundred twenty-nine thousand, two hundred".