105482605644 has 48 divisors (see below), whose sum is σ = 294509843040. Its totient is φ = 32456185920.

The previous prime is 105482605633. The next prime is 105482605663. The reversal of 105482605644 is 446506284501.

It is a happy number.

105482605644 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 82 + 6 + 0 + 564 + 4 = 666.

It is a super-2 number, since 2×105482605644² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105482605644.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37563627 + ... + 37566434.

It is an arithmetic number, because the mean of its divisors is an integer number (6135621730).

Almost surely, 2^105482605644 is an apocalyptic number.

It is an amenable number.

105482605644 is an abundant number, since it is smaller than the sum of its proper divisors (189027237396).

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

105482605644 is a wasteful number, since it uses less digits than its factorization.

105482605644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75130087 (or 75130079 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 105482605644 in words is "one hundred five billion, four hundred eighty-two million, six hundred five thousand, six hundred forty-four".