106088620 has 48 divisors (see below), whose sum is σ = 249627168. Its totient is φ = 37532160.

The previous prime is 106088597. The next prime is 106088621. The reversal of 106088620 is 26880601.

It is a super-2 number, since 2×106088620² = 22509590587008800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (106088621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1624 + ... + 14656.

It is an arithmetic number, because the mean of its divisors is an integer number (5200566).

Almost surely, 2^106088620 is an apocalyptic number.

106088620 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 106088620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124813584).

106088620 is an abundant number, since it is smaller than the sum of its proper divisors (143538548).

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

106088620 is a wasteful number, since it uses less digits than its factorization.

106088620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13090 (or 13088 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 106088620 is about 10299.9330094909. The cubic root of 106088620 is about 473.3942007731.

The spelling of 106088620 in words is "one hundred six million, eighty-eight thousand, six hundred twenty".