105949966936320 has 1944 divisors, whose sum is σ = 422588796005376. Its totient is φ = 24492163497984.

The previous prime is 105949966936223. The next prime is 105949966936399. The reversal of 105949966936320 is 23639669949501.

It is a happy number.

105949966936320 is a `hidden beast` number, since 1 + 0 + 59 + 499 + 6 + 6 + 9 + 3 + 63 + 20 = 666.

It is a super-2 number, since 2×105949966936320² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 89258606767 + ... + 89258607953.

It is an arithmetic number, because the mean of its divisors is an integer number (217381067904).

Almost surely, 2^{105949966936320} is an apocalyptic number.

105949966936320 is a gapful number since it is divisible by the number (10) 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 105949966936320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211294398002688).

105949966936320 is an abundant number, since it is smaller than the sum of its proper divisors (316638829069056).

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

105949966936320 is a wasteful number, since it uses less digits than its factorization.

105949966936320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 510183360, while the sum is 72.

The spelling of 105949966936320 in words is "one hundred five trillion, nine hundred forty-nine billion, nine hundred sixty-six million, nine hundred thirty-six thousand, three hundred twenty".