105363137880000 has 10080 divisors, whose sum is σ = 570848639961600. Its totient is φ = 19020718080000.

The previous prime is 105363137879981. The next prime is 105363137880029. The reversal of 105363137880000 is 88731363501.

105363137880000 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 631 + 3 + 7 + 8 + 8 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (10080).

It is a super-2 number, since 2×105363137880000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1439 ways as a sum of consecutive naturals, for example, 6197831639992 + ... + 6197831640008.

It is an arithmetic number, because the mean of its divisors is an integer number (56631809520).

Almost surely, 2^{105363137880000} is an apocalyptic number.

105363137880000 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 105363137880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285424319980800).

105363137880000 is an abundant number, since it is smaller than the sum of its proper divisors (465485502081600).

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

105363137880000 is an equidigital number, since it uses as much as digits as its factorization.

105363137880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 105363137880000 in words is "one hundred five trillion, three hundred sixty-three billion, one hundred thirty-seven million, eight hundred eighty thousand".