105487468080 has 40 divisors (see below), whose sum is σ = 327011151792. Its totient is φ = 28129991424.

The previous prime is 105487468069. The next prime is 105487468117. The reversal of 105487468080 is 80864784501.

105487468080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×105487468080² (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, 219765319 + ... + 219765798.

Almost surely, 2^105487468080 is an apocalyptic number.

105487468080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105487468080 is an abundant number, since it is smaller than the sum of its proper divisors (221523683712).

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

105487468080 is a wasteful number, since it uses less digits than its factorization.

105487468080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439531133 (or 439531127 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 51.

The spelling of 105487468080 in words is "one hundred five billion, four hundred eighty-seven million, four hundred sixty-eight thousand, eighty".