105611010500 has 96 divisors (see below), whose sum is σ = 232319767680. Its totient is φ = 41940393600.

The previous prime is 105611010467. The next prime is 105611010517. The reversal of 105611010500 is 5010116501.

It is a super-2 number, since 2×105611010500² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 64910687 + ... + 64912313.

It is an arithmetic number, because the mean of its divisors is an integer number (2419997580).

Almost surely, 2^105611010500 is an apocalyptic number.

105611010500 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 105611010500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116159883840).

105611010500 is an abundant number, since it is smaller than the sum of its proper divisors (126708757180).

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

105611010500 is a wasteful number, since it uses less digits than its factorization.

105611010500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2502 (or 2490 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 20.

The spelling of 105611010500 in words is "one hundred five billion, six hundred eleven million, ten thousand, five hundred".