105840519552 has 96 divisors (see below), whose sum is σ = 315069534000. Its totient is φ = 34063604736.

The previous prime is 105840519541. The next prime is 105840519647. The reversal of 105840519552 is 255915048501.

105840519552 is a `hidden beast` number, since 1 + 0 + 5 + 8 + 40 + 51 + 9 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105840519552² (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 junction number, because it is equal to n+sod(n) for n = 105840519498 and 105840519507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1550652 + ... + 1617467.

Almost surely, 2^105840519552 is an apocalyptic number.

105840519552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105840519552 is an abundant number, since it is smaller than the sum of its proper divisors (209229014448).

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

105840519552 is a wasteful number, since it uses less digits than its factorization.

105840519552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3168168 (or 3168153 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 45.

The spelling of 105840519552 in words is "one hundred five billion, eight hundred forty million, five hundred nineteen thousand, five hundred fifty-two".