105075564077480 has 64 divisors (see below), whose sum is σ = 245457145152000. Its totient is φ = 40439299610880.

The previous prime is 105075564077467. The next prime is 105075564077503. The reversal of 105075564077480 is 84770465570501.

It is a super-2 number, since 2×105075564077480² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244694030 + ... + 245123069.

It is an arithmetic number, because the mean of its divisors is an integer number (3835267893000).

Almost surely, 2^{105075564077480} is an apocalyptic number.

105075564077480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105075564077480 is an abundant number, since it is smaller than the sum of its proper divisors (140381581074520).

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

105075564077480 is a wasteful number, since it uses less digits than its factorization.

105075564077480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489817314 (or 489817310 counting only the distinct ones).

The product of its (nonzero) digits is 32928000, while the sum is 59.

The spelling of 105075564077480 in words is "one hundred five trillion, seventy-five billion, five hundred sixty-four million, seventy-seven thousand, four hundred eighty".