105100005656550 has 48 divisors (see below), whose sum is σ = 260650860759360. Its totient is φ = 28026362075040.

The previous prime is 105100005656531. The next prime is 105100005656557. The reversal of 105100005656550 is 55656500001501.

It is a super-2 number, since 2×105100005656550² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105100005656499 and 105100005656508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105100005656557) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10122541 + ... + 17682359.

It is an arithmetic number, because the mean of its divisors is an integer number (5430226265820).

Almost surely, 2^{105100005656550} is an apocalyptic number.

105100005656550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105100005656550 is an abundant number, since it is smaller than the sum of its proper divisors (155550855102810).

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

105100005656550 is a wasteful number, since it uses less digits than its factorization.

105100005656550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7652517 (or 7652512 counting only the distinct ones).

The product of its (nonzero) digits is 112500, while the sum is 39.

The spelling of 105100005656550 in words is "one hundred five trillion, one hundred billion, five million, six hundred fifty-six thousand, five hundred fifty".