107639104 has 112 divisors (see below), whose sum is σ = 245790720. Its totient is φ = 46448640.

The previous prime is 107639101. The next prime is 107639113. The reversal of 107639104 is 401936701.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107639101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 847489 + ... + 847615.

It is an arithmetic number, because the mean of its divisors is an integer number (2194560).

Almost surely, 2^107639104 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 107639104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122895360).

107639104 is an abundant number, since it is smaller than the sum of its proper divisors (138151616).

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

107639104 is a wasteful number, since it uses less digits than its factorization.

107639104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 107639104 is about 10374.9266985362. The cubic root of 107639104 is about 475.6892729956.

The spelling of 107639104 in words is "one hundred seven million, six hundred thirty-nine thousand, one hundred four".