105611010516 has 144 divisors (see below), whose sum is σ = 309041660928. Its totient is φ = 31258936800.

The previous prime is 105611010467. The next prime is 105611010517. The reversal of 105611010516 is 615010116501.

It is a super-2 number, since 2×105611010516² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 105611010516.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105611010517) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 344901 + ... + 574611.

Almost surely, 2^105611010516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105611010516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154520830464).

105611010516 is an abundant number, since it is smaller than the sum of its proper divisors (203430650412).

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

105611010516 is a wasteful number, since it uses less digits than its factorization.

105611010516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229784 (or 229770 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The spelling of 105611010516 in words is "one hundred five billion, six hundred eleven million, ten thousand, five hundred sixteen".