105244515540 has 96 divisors (see below), whose sum is σ = 327542866560. Its totient is φ = 28055305728.

The previous prime is 105244515487. The next prime is 105244515557. The reversal of 105244515540 is 45515442501.

105244515540 is a `hidden beast` number, since 1 + 0 + 52 + 4 + 4 + 51 + 554 + 0 = 666.

It is a super-2 number, since 2×105244515540² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 105244515495 and 105244515504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1567132 + ... + 1632908.

It is an arithmetic number, because the mean of its divisors is an integer number (3411904860).

Almost surely, 2^105244515540 is an apocalyptic number.

105244515540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105244515540 is an abundant number, since it is smaller than the sum of its proper divisors (222298351020).

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

105244515540 is a wasteful number, since it uses less digits than its factorization.

105244515540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68758 (or 68750 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

The spelling of 105244515540 in words is "one hundred five billion, two hundred forty-four million, five hundred fifteen thousand, five hundred forty".