105399796999680 has 480 divisors, whose sum is σ = 374135676355584. Its totient is φ = 27407586705408.

The previous prime is 105399796999657. The next prime is 105399796999687. The reversal of 105399796999680 is 86999697993501.

105399796999680 is a `hidden beast` number, since 1 + 0 + 5 + 399 + 79 + 6 + 9 + 99 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×105399796999680² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105399796999687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 601279407 + ... + 601454673.

Almost surely, 2^{105399796999680} is an apocalyptic number.

105399796999680 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 105399796999680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187067838177792).

105399796999680 is an abundant number, since it is smaller than the sum of its proper divisors (268735879355904).

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

105399796999680 is a wasteful number, since it uses less digits than its factorization.

105399796999680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175946 (or 175927 counting only the distinct ones).

The product of its (nonzero) digits is 16070775840, while the sum is 90.

The spelling of 105399796999680 in words is "one hundred five trillion, three hundred ninety-nine billion, seven hundred ninety-six million, nine hundred ninety-nine thousand, six hundred eighty".