105944702976 has 336 divisors, whose sum is σ = 362766278784. Its totient is φ = 30265933824.

The previous prime is 105944702939. The next prime is 105944702993. The reversal of 105944702976 is 679207449501.

105944702976 is a `hidden beast` number, since 1 + 0 + 594 + 47 + 0 + 2 + 9 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×105944702976² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 13930791 + ... + 13938393.

It is an arithmetic number, because the mean of its divisors is an integer number (1079661544).

Almost surely, 2^105944702976 is an apocalyptic number.

105944702976 is a gapful number since it is divisible by the number (16) 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 105944702976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181383139392).

105944702976 is an abundant number, since it is smaller than the sum of its proper divisors (256821575808).

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

105944702976 is an frugal number, since it uses more digits than its factorization.

105944702976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7651 (or 7615 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 105944702976 in words is "one hundred five billion, nine hundred forty-four million, seven hundred two thousand, nine hundred seventy-six".