106915620 has 96 divisors (see below), whose sum is σ = 346364928. Its totient is φ = 24135552.

The previous prime is 106915619. The next prime is 106915667. The reversal of 106915620 is 26519601.

It is a super-2 number, since 2×106915620² = 22861899599968800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33327 + ... + 36393.

It is an arithmetic number, because the mean of its divisors is an integer number (3607968).

Almost surely, 2^106915620 is an apocalyptic number.

106915620 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 106915620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173182464).

106915620 is an abundant number, since it is smaller than the sum of its proper divisors (239449308).

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

106915620 is a wasteful number, since it uses less digits than its factorization.

106915620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3169 (or 3167 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 106915620 is about 10340.0009671179. Note that the first 3 decimals coincide. The cubic root of 106915620 is about 474.6211124468.

The spelling of 106915620 in words is "one hundred six million, nine hundred fifteen thousand, six hundred twenty".