107116020 has 120 divisors (see below), whose sum is σ = 366635808. Its totient is φ = 25963200.

The previous prime is 107115959. The next prime is 107116027. The reversal of 107116020 is 20611701.

It is a super-2 number, since 2×107116020² = 22947683481280800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 107115984 and 107116002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107116027) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14815 + ... + 20825.

Almost surely, 2^107116020 is an apocalyptic number.

107116020 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 107116020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183317904).

107116020 is an abundant number, since it is smaller than the sum of its proper divisors (259519788).

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

107116020 is a wasteful number, since it uses less digits than its factorization.

107116020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6043 (or 6032 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 107116020 is about 10349.6869517875. The cubic root of 107116020 is about 474.9174667314.

Adding to 107116020 its reverse (20611701), we get a palindrome (127727721).

The spelling of 107116020 in words is "one hundred seven million, one hundred sixteen thousand, twenty".