106673770700 has 72 divisors (see below), whose sum is σ = 264635499744. Its totient is φ = 36562176000.

The previous prime is 106673770691. The next prime is 106673770711. The reversal of 106673770700 is 7077376601.

It is a super-2 number, since 2×106673770700² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

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, 2330030 + ... + 2375370.

It is an arithmetic number, because the mean of its divisors is an integer number (3675493052).

Almost surely, 2^106673770700 is an apocalyptic number.

106673770700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106673770700 is an abundant number, since it is smaller than the sum of its proper divisors (157961729044).

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

106673770700 is a wasteful number, since it uses less digits than its factorization.

106673770700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48723 (or 48716 counting only the distinct ones).

The product of its (nonzero) digits is 259308, while the sum is 44.

The spelling of 106673770700 in words is "one hundred six billion, six hundred seventy-three million, seven hundred seventy thousand, seven hundred".