105110005561050 has 96 divisors (see below), whose sum is σ = 302358231977472. Its totient is φ = 23666559871680.

The previous prime is 105110005560829. The next prime is 105110005561063. The reversal of 105110005561050 is 50165500011501.

It is a super-2 number, since 2×105110005561050² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 105110005560999 and 105110005561017.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 746980152 + ... + 747120851.

It is an arithmetic number, because the mean of its divisors is an integer number (3149564916432).

Almost surely, 2^{105110005561050} is an apocalyptic number.

105110005561050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105110005561050 is an abundant number, since it is smaller than the sum of its proper divisors (197248226416422).

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

105110005561050 is a wasteful number, since it uses less digits than its factorization.

105110005561050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494101092 (or 1494101087 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 30.

Adding to 105110005561050 its reverse (50165500011501), we get a palindrome (155275505572551).

The spelling of 105110005561050 in words is "one hundred five trillion, one hundred ten billion, five million, five hundred sixty-one thousand, fifty".