107090064 has 60 divisors (see below), whose sum is σ = 306099456. Its totient is φ = 34934976.

The previous prime is 107090063. The next prime is 107090119. The reversal of 107090064 is 460090701.

It is a super-2 number, since 2×107090064² = 22936563615048192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107090063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1144 + ... + 14679.

Almost surely, 2^107090064 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 107090064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153049728).

107090064 is an abundant number, since it is smaller than the sum of its proper divisors (199009392).

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

107090064 is a wasteful number, since it uses less digits than its factorization.

107090064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15884 (or 15875 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 107090064 is about 10348.4329248442. The cubic root of 107090064 is about 474.8791034888.

The spelling of 107090064 in words is "one hundred seven million, ninety thousand, sixty-four".