107021120 has 112 divisors (see below), whose sum is σ = 273881088. Its totient is φ = 39690240.

The previous prime is 107021119. The next prime is 107021141. The reversal of 107021120 is 21120701.

It is a super-2 number, since 2×107021120² = 22907040252108800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107021095 and 107021104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 560225 + ... + 560415.

Almost surely, 2^107021120 is an apocalyptic number.

107021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136940544).

107021120 is an abundant number, since it is smaller than the sum of its proper divisors (166859968).

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

107021120 is a wasteful number, since it uses less digits than its factorization.

107021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 14.

The square root of 107021120 is about 10345.1012561502. The cubic root of 107021120 is about 474.7771734182. Note that the first 3 decimals are identical.

Adding to 107021120 its reverse (21120701), we get a palindrome (128141821).

The spelling of 107021120 in words is "one hundred seven million, twenty-one thousand, one hundred twenty".