105505248960 has 168 divisors, whose sum is σ = 381993983280. Its totient is φ = 26653943808.

The previous prime is 105505248943. The next prime is 105505248967. The reversal of 105505248960 is 69842505501.

105505248960 is a `hidden beast` number, since 1 + 0 + 5 + 505 + 2 + 4 + 89 + 60 = 666.

It is a super-2 number, since 2×105505248960² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (105505248967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 909327 + ... + 1018766.

It is an arithmetic number, because the mean of its divisors is an integer number (2273773710).

Almost surely, 2^105505248960 is an apocalyptic number.

105505248960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105505248960 is an abundant number, since it is smaller than the sum of its proper divisors (276488734320).

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

105505248960 is a wasteful number, since it uses less digits than its factorization.

105505248960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1928135 (or 1928122 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 105505248960 in words is "one hundred five billion, five hundred five million, two hundred forty-eight thousand, nine hundred sixty".