105060510550560 has 96 divisors (see below), whose sum is σ = 330942754114560. Its totient is φ = 28015954485248.

The previous prime is 105060510550537. The next prime is 105060510550601. The reversal of 105060510550560 is 65055015060501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105060510550560² (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, 83888656 + ... + 85131824.

It is an arithmetic number, because the mean of its divisors is an integer number (3447320355360).

Almost surely, 2^{105060510550560} is an apocalyptic number.

105060510550560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105060510550560 is an abundant number, since it is smaller than the sum of its proper divisors (225882243564000).

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

105060510550560 is a wasteful number, since it uses less digits than its factorization.

105060510550560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419250 (or 1419242 counting only the distinct ones).

The product of its (nonzero) digits is 112500, while the sum is 39.

The spelling of 105060510550560 in words is "one hundred five trillion, sixty billion, five hundred ten million, five hundred fifty thousand, five hundred sixty".