105100100105560 has 32 divisors (see below), whose sum is σ = 270257400272160. Its totient is φ = 36034320036096.

The previous prime is 105100100105557. The next prime is 105100100105569. The reversal of 105100100105560 is 65501001001501.

It is a super-4 number, since 4×105100100105560⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105100100105569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 187678749909 + ... + 187678750468.

It is an arithmetic number, because the mean of its divisors is an integer number (8445543758505).

Almost surely, 2^{105100100105560} is an apocalyptic number.

105100100105560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105100100105560 is an abundant number, since it is smaller than the sum of its proper divisors (165157300166600).

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

105100100105560 is a wasteful number, since it uses less digits than its factorization.

105100100105560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375357500395 (or 375357500391 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 25.

The spelling of 105100100105560 in words is "one hundred five trillion, one hundred billion, one hundred million, one hundred five thousand, five hundred sixty".