105487494960 has 40 divisors (see below), whose sum is σ = 327011235120. Its totient is φ = 28129998592.

The previous prime is 105487494911. The next prime is 105487494977. The reversal of 105487494960 is 69494784501.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105487494960² (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 105487494960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 219765375 + ... + 219765854.

It is an arithmetic number, because the mean of its divisors is an integer number (8175280878).

Almost surely, 2^105487494960 is an apocalyptic number.

105487494960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105487494960 is an abundant number, since it is smaller than the sum of its proper divisors (221523740160).

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

105487494960 is a wasteful number, since it uses less digits than its factorization.

105487494960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439531245 (or 439531239 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 57.

The spelling of 105487494960 in words is "one hundred five billion, four hundred eighty-seven million, four hundred ninety-four thousand, nine hundred sixty".