106562646600 has 96 divisors (see below), whose sum is σ = 330923804640. Its totient is φ = 28366848000.

The previous prime is 106562646587. The next prime is 106562646649. The reversal of 106562646600 is 6646265601.

It is a happy number.

It is a super-2 number, since 2×106562646600² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187080 + ... + 498120.

It is an arithmetic number, because the mean of its divisors is an integer number (3447122965).

Almost surely, 2^106562646600 is an apocalyptic number.

106562646600 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 106562646600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165461902320).

106562646600 is an abundant number, since it is smaller than the sum of its proper divisors (224361158040).

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

106562646600 is a wasteful number, since it uses less digits than its factorization.

106562646600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311631 (or 311622 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 106562646600 in words is "one hundred six billion, five hundred sixty-two million, six hundred forty-six thousand, six hundred".