105061006056060 has 36 divisors (see below), whose sum is σ = 318685051703928. Its totient is φ = 28016268281568.

The previous prime is 105061006056043. The next prime is 105061006056119. The reversal of 105061006056060 is 60650600160501.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105061006056060² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 291836127754 + ... + 291836128113.

Almost surely, 2^{105061006056060} is an apocalyptic number.

105061006056060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105061006056060 is an abundant number, since it is smaller than the sum of its proper divisors (213624045647868).

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

105061006056060 is a wasteful number, since it uses less digits than its factorization.

105061006056060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583672255882 (or 583672255877 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 105061006056060 in words is "one hundred five trillion, sixty-one billion, six million, fifty-six thousand, sixty".