105516548640 has 288 divisors, whose sum is σ = 393067321920. Its totient is φ = 26656625664.

The previous prime is 105516548639. The next prime is 105516548653. The reversal of 105516548640 is 46845615501.

105516548640 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 165 + 486 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×105516548640² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 667302 + ... + 810138.

It is an arithmetic number, because the mean of its divisors is an integer number (1364817090).

Almost surely, 2^105516548640 is an apocalyptic number.

105516548640 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 105516548640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196533660960).

105516548640 is an abundant number, since it is smaller than the sum of its proper divisors (287550773280).

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

105516548640 is a wasteful number, since it uses less digits than its factorization.

105516548640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142886 (or 142866 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 105516548640 in words is "one hundred five billion, five hundred sixteen million, five hundred forty-eight thousand, six hundred forty".