107526042 has 128 divisors (see below), whose sum is σ = 273315840. Its totient is φ = 31492800.

The previous prime is 107525987. The next prime is 107526053. The reversal of 107526042 is 240625701.

107526042 is a `hidden beast` number, since 1 + 0 + 7 + 52 + 604 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 107525997 and 107526015.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1762692 + ... + 1762752.

It is an arithmetic number, because the mean of its divisors is an integer number (2135280).

Almost surely, 2^107526042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107526042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136657920).

107526042 is an abundant number, since it is smaller than the sum of its proper divisors (165789798).

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

107526042 is an equidigital number, since it uses as much as digits as its factorization.

107526042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 107526042 is about 10369.4764573724. The cubic root of 107526042 is about 475.5226630920.

The spelling of 107526042 in words is "one hundred seven million, five hundred twenty-six thousand, forty-two".