105472662080 has 56 divisors (see below), whose sum is σ = 265930718328. Its totient is φ = 39707353088.

The previous prime is 105472662037. The next prime is 105472662151. The reversal of 105472662080 is 80266274501.

It can be written as a sum of positive squares in 4 ways, for example, as 6403840576 + 99068821504 = 80024^2 + 314752^2 .

It is a super-3 number, since 3×105472662080³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 9688739 + ... + 9699618.

Almost surely, 2^105472662080 is an apocalyptic number.

105472662080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105472662080 is an abundant number, since it is smaller than the sum of its proper divisors (160458056248).

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

105472662080 is a wasteful number, since it uses less digits than its factorization.

105472662080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19388391 (or 19388381 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The spelling of 105472662080 in words is "one hundred five billion, four hundred seventy-two million, six hundred sixty-two thousand, eighty".