107270064 has 120 divisors (see below), whose sum is σ = 330027984. Its totient is φ = 32256000.

The previous prime is 107270047. The next prime is 107270087. The reversal of 107270064 is 460072701.

107270064 = T₂₇₉ + T₂₈₀ + ... + T₈₇₂.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 381604 + ... + 381884.

Almost surely, 2^107270064 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 107270064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165013992).

107270064 is an abundant number, since it is smaller than the sum of its proper divisors (222757920).

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

107270064 is a wasteful number, since it uses less digits than its factorization.

107270064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 107270064 is about 10357.1262423512. The cubic root of 107270064 is about 475.1450179559.

The spelling of 107270064 in words is "one hundred seven million, two hundred seventy thousand, sixty-four".