105293015984 has 40 divisors (see below), whose sum is σ = 222977030640. Its totient is φ = 47871445248.

The previous prime is 105293015959. The next prime is 105293016007. The reversal of 105293015984 is 489510392501.

It is a super-2 number, since 2×105293015984² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3763799 + ... + 3791670.

It is an arithmetic number, because the mean of its divisors is an integer number (5574425766).

Almost surely, 2^105293015984 is an apocalyptic number.

It is an amenable number.

105293015984 is an abundant number, since it is smaller than the sum of its proper divisors (117684014656).

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

105293015984 is a wasteful number, since it uses less digits than its factorization.

105293015984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7555557 (or 7555551 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 47.

The spelling of 105293015984 in words is "one hundred five billion, two hundred ninety-three million, fifteen thousand, nine hundred eighty-four".