106721700 has 72 divisors (see below), whose sum is σ = 316000608. Its totient is φ = 27793920.

The previous prime is 106721683. The next prime is 106721707. The reversal of 106721700 is 7127601.

It is a super-2 number, since 2×106721700² = 22779042501780000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106721707) 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, 8764 + ... + 17036.

Almost surely, 2^106721700 is an apocalyptic number.

106721700 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 106721700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158000304).

106721700 is an abundant number, since it is smaller than the sum of its proper divisors (209278908).

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

106721700 is a wasteful number, since it uses less digits than its factorization.

106721700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8333 (or 8326 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 24.

The square root of 106721700 is about 10330.6195361169. The cubic root of 106721700 is about 474.3339881153. Note that the first 3 decimals are identical.

The spelling of 106721700 in words is "one hundred six million, seven hundred twenty-one thousand, seven hundred".