106064090000 has 100 divisors (see below), whose sum is σ = 280136765040. Its totient is φ = 38568720000.

The previous prime is 106064089991. The next prime is 106064090003. The reversal of 106064090000 is 90460601.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×106064090000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106064090003) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 372110 + ... + 592109.

Almost surely, 2^106064090000 is an apocalyptic number.

106064090000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106064090000 is an abundant number, since it is smaller than the sum of its proper divisors (174072675040).

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

106064090000 is an equidigital number, since it uses as much as digits as its factorization.

106064090000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964258 (or 964237 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The spelling of 106064090000 in words is "one hundred six billion, sixty-four million, ninety thousand".