105937836768 has 336 divisors, whose sum is σ = 319840690176. Its totient is φ = 34516419840.

The previous prime is 105937836751. The next prime is 105937836821. The reversal of 105937836768 is 867638739501.

105937836768 is a `hidden beast` number, since 1 + 0 + 593 + 7 + 8 + 36 + 7 + 6 + 8 = 666.

It is a super-2 number, since 2×105937836768² (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 55 ways as a sum of consecutive naturals, for example, 276599905 + ... + 276600287.

It is an arithmetic number, because the mean of its divisors is an integer number (951906816).

Almost surely, 2^105937836768 is an apocalyptic number.

105937836768 is a gapful number since it is divisible by the number (18) 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 105937836768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159920345088).

105937836768 is an abundant number, since it is smaller than the sum of its proper divisors (213902853408).

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

105937836768 is an equidigital number, since it uses as much as digits as its factorization.

105937836768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 105937836768 in words is "one hundred five billion, nine hundred thirty-seven million, eight hundred thirty-six thousand, seven hundred sixty-eight".