106827981792 has 96 divisors (see below), whose sum is σ = 320604480000. Its totient is φ = 30510801408.

The previous prime is 106827981779. The next prime is 106827981811. The reversal of 106827981792 is 297189728601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×106827981792² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1845709 + ... + 1902707.

It is an arithmetic number, because the mean of its divisors is an integer number (3339630000).

Almost surely, 2^106827981792 is an apocalyptic number.

106827981792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106827981792 is an abundant number, since it is smaller than the sum of its proper divisors (213776498208).

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

106827981792 is a wasteful number, since it uses less digits than its factorization.

106827981792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59808 (or 59800 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 60.

The spelling of 106827981792 in words is "one hundred six billion, eight hundred twenty-seven million, nine hundred eighty-one thousand, seven hundred ninety-two".