105516048960 has 336 divisors, whose sum is σ = 415981627776. Its totient is φ = 24048009216.

The previous prime is 105516048949. The next prime is 105516048961. The reversal of 105516048960 is 69840615501.

105516048960 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 160 + 489 + 6 + 0 = 666.

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

It is a super-2 number, since 2×105516048960² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (105516048961) 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, 7109067 + ... + 7123893.

Almost surely, 2^105516048960 is an apocalyptic number.

105516048960 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 105516048960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207990813888).

105516048960 is an abundant number, since it is smaller than the sum of its proper divisors (310465578816).

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

105516048960 is a wasteful number, since it uses less digits than its factorization.

105516048960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15210 (or 15197 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 105516048960 in words is "one hundred five billion, five hundred sixteen million, forty-eight thousand, nine hundred sixty".