106620900 has 72 divisors (see below), whose sum is σ = 310959264. Its totient is φ = 28204800.

The previous prime is 106620881. The next prime is 106620911. The reversal of 106620900 is 9026601.

It is a super-2 number, since 2×106620900² = 22736032633620000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37944 + ... + 40656.

Almost surely, 2^106620900 is an apocalyptic number.

106620900 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 106620900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155479632).

106620900 is an abundant number, since it is smaller than the sum of its proper divisors (204338364).

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

106620900 is a wasteful number, since it uses less digits than its factorization.

106620900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2861 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 106620900 is about 10325.7396829477. The cubic root of 106620900 is about 474.1846029163.

The spelling of 106620900 in words is "one hundred six million, six hundred twenty thousand, nine hundred".