105066155516060 has 48 divisors (see below), whose sum is σ = 245913354721440. Its totient is φ = 37472511191040.

The previous prime is 105066155516059. The next prime is 105066155516123. The reversal of 105066155516060 is 60615551660501.

It is a super-2 number, since 2×105066155516060² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105066155515996 and 105066155516014.

It is a congruent number.

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, 8132048921 + ... + 8132061840.

It is an arithmetic number, because the mean of its divisors is an integer number (5123194890030).

Almost surely, 2^{105066155516060} is an apocalyptic number.

105066155516060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105066155516060 is an abundant number, since it is smaller than the sum of its proper divisors (140847199205380).

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

105066155516060 is a wasteful number, since it uses less digits than its factorization.

105066155516060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16264110806 (or 16264110804 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 47.

The spelling of 105066155516060 in words is "one hundred five trillion, sixty-six billion, one hundred fifty-five million, five hundred sixteen thousand, sixty".