107071072 has 24 divisors (see below), whose sum is σ = 219962736. Its totient is φ = 51207552.

The previous prime is 107071051. The next prime is 107071073. The reversal of 107071072 is 270170701.

It is a super-2 number, since 2×107071072² = 22928428918458368, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107071073) 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 3 ways as a sum of consecutive naturals, for example, 72003 + ... + 73474.

It is an arithmetic number, because the mean of its divisors is an integer number (9165114).

Almost surely, 2^107071072 is an apocalyptic number.

It is an amenable number.

107071072 is an abundant number, since it is smaller than the sum of its proper divisors (112891664).

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

107071072 is a wasteful number, since it uses less digits than its factorization.

107071072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145510 (or 145502 counting only the distinct ones).

The product of its (nonzero) digits is 686, while the sum is 25.

The square root of 107071072 is about 10347.5152572973. The cubic root of 107071072 is about 474.8510291845.

The spelling of 107071072 in words is "one hundred seven million, seventy-one thousand, seventy-two".