107215120 has 40 divisors (see below), whose sum is σ = 250013016. Its totient is φ = 42759168.

The previous prime is 107215109. The next prime is 107215127. The reversal of 107215120 is 21512701.

It can be written as a sum of positive squares in 4 ways, for example, as 6574096 + 100641024 = 2564^2 + 10032^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×107215120² = 22990163913228800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107215127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28044 + ... + 31636.

Almost surely, 2^107215120 is an apocalyptic number.

107215120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107215120 is an abundant number, since it is smaller than the sum of its proper divisors (142797896).

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

107215120 is a wasteful number, since it uses less digits than its factorization.

107215120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3979 (or 3973 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 19.

The square root of 107215120 is about 10354.4734293927. The cubic root of 107215120 is about 475.0638806053.

Adding to 107215120 its reverse (21512701), we get a palindrome (128727821).

The spelling of 107215120 in words is "one hundred seven million, two hundred fifteen thousand, one hundred twenty".