106680900 has 72 divisors (see below), whose sum is σ = 322104384. Its totient is φ = 27209600.

The previous prime is 106680883. The next prime is 106680901. The reversal of 106680900 is 9086601.

It is a super-2 number, since 2×106680900² = 22761628849620000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (106680901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 831 + ... + 14630.

It is an arithmetic number, because the mean of its divisors is an integer number (4473672).

Almost surely, 2^106680900 is an apocalyptic number.

106680900 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 106680900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161052192).

106680900 is an abundant number, since it is smaller than the sum of its proper divisors (215423484).

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

106680900 is a wasteful number, since it uses less digits than its factorization.

106680900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15501 (or 15494 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 106680900 is about 10328.6446351881. The cubic root of 106680900 is about 474.2735340138.

The spelling of 106680900 in words is "one hundred six million, six hundred eighty thousand, nine hundred".