105155105560 has 128 divisors (see below), whose sum is σ = 258662808000. Its totient is φ = 38334726144.

The previous prime is 105155105543. The next prime is 105155105591. The reversal of 105155105560 is 65501551501.

It is a super-2 number, since 2×105155105560² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2481672 + ... + 2523688.

Almost surely, 2^105155105560 is an apocalyptic number.

105155105560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105155105560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129331404000).

105155105560 is an abundant number, since it is smaller than the sum of its proper divisors (153507702440).

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

105155105560 is a wasteful number, since it uses less digits than its factorization.

105155105560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42173 (or 42169 counting only the distinct ones).

The product of its (nonzero) digits is 18750, while the sum is 34.

The spelling of 105155105560 in words is "one hundred five billion, one hundred fifty-five million, one hundred five thousand, five hundred sixty".