107095104 has 84 divisors (see below), whose sum is σ = 325055484. Its totient is φ = 33595392.

The previous prime is 107095099. The next prime is 107095133. The reversal of 107095104 is 401590701.

It can be written as a sum of positive squares in 2 ways, for example, as 94478400 + 12616704 = 9720^2 + 3552^2 .

It is a super-2 number, since 2×107095104² = 22938722601541632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4324 + ... + 15260.

Almost surely, 2^107095104 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 107095104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162527742).

107095104 is an abundant number, since it is smaller than the sum of its proper divisors (217960380).

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

107095104 is a wasteful number, since it uses less digits than its factorization.

107095104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10972 (or 10959 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 107095104 is about 10348.6764371102. The cubic root of 107095104 is about 474.8865531471.

The spelling of 107095104 in words is "one hundred seven million, ninety-five thousand, one hundred four".