107442936 has 144 divisors (see below), whose sum is σ = 318848400. Its totient is φ = 33872256.

The previous prime is 107442887. The next prime is 107442943. The reversal of 107442936 is 639244701.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 107442936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1207180 + ... + 1207268.

It is an arithmetic number, because the mean of its divisors is an integer number (2214225).

Almost surely, 2^107442936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107442936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159424200).

107442936 is an abundant number, since it is smaller than the sum of its proper divisors (211405464).

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

107442936 is an frugal number, since it uses more digits than its factorization.

107442936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 107442936 is about 10365.4684409341. The cubic root of 107442936 is about 475.4001223217.

The spelling of 107442936 in words is "one hundred seven million, four hundred forty-two thousand, nine hundred thirty-six".