107015220 has 288 divisors, whose sum is σ = 385257600. Its totient is φ = 23804928.

The previous prime is 107015213. The next prime is 107015231. The reversal of 107015220 is 22510701.

It is a super-2 number, since 2×107015220² = 22904514623296800, 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 = 107015193 and 107015202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1289299 + ... + 1289381.

It is an arithmetic number, because the mean of its divisors is an integer number (1337700).

Almost surely, 2^107015220 is an apocalyptic number.

107015220 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 107015220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192628800).

107015220 is an abundant number, since it is smaller than the sum of its proper divisors (278242380).

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

107015220 is a wasteful number, since it uses less digits than its factorization.

107015220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 107015220 is about 10344.8160930971. The cubic root of 107015220 is about 474.7684485459.

Adding to 107015220 its reverse (22510701), we get a palindrome (129525921).

It can be divided in two parts, 1070 and 15220, that added together give a triangular number (16290 = T₁₈₀).

The spelling of 107015220 in words is "one hundred seven million, fifteen thousand, two hundred twenty".