101105560060506 has 192 divisors, whose sum is σ = 227967888844800. Its totient is φ = 32358704007168.

The previous prime is 101105560060457. The next prime is 101105560060511. The reversal of 101105560060506 is 605060065501101.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24310062855 + ... + 24310067013.

It is an arithmetic number, because the mean of its divisors is an integer number (1187332754400).

Almost surely, 2^{101105560060506} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101105560060506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113983944422400).

101105560060506 is an abundant number, since it is smaller than the sum of its proper divisors (126862328784294).

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

101105560060506 is a wasteful number, since it uses less digits than its factorization.

101105560060506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5653 (or 5650 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 101105560060506 in words is "one hundred one trillion, one hundred five billion, five hundred sixty million, sixty thousand, five hundred six".