107752000 has 56 divisors (see below), whose sum is σ = 266867640. Its totient is φ = 43097600.

The previous prime is 107751991. The next prime is 107752019. The reversal of 107752000 is 257701.

It can be written as a sum of positive squares in 4 ways, for example, as 2238016 + 105513984 = 1496^2 + 10272^2 .

It is a super-2 number, since 2×107752000² = 23220987008000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1266 + ... + 14734.

Almost surely, 2^107752000 is an apocalyptic number.

107752000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133433820).

107752000 is an abundant number, since it is smaller than the sum of its proper divisors (159115640).

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

107752000 is an equidigital number, since it uses as much as digits as its factorization.

107752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13496 (or 13476 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 22.

The square root of 107752000 is about 10380.3660821765. The cubic root of 107752000 is about 475.8555219074.

The spelling of 107752000 in words is "one hundred seven million, seven hundred fifty-two thousand".