105610500996 has 384 divisors, whose sum is σ = 337105649664. Its totient is φ = 24848570880.

The previous prime is 105610500971. The next prime is 105610500997. The reversal of 105610500996 is 699005016501.

105610500996 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105610500996² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (105610500997) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 163230745 + ... + 163231391.

It is an arithmetic number, because the mean of its divisors is an integer number (877879296).

Almost surely, 2^105610500996 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 105610500996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168552824832).

105610500996 is an abundant number, since it is smaller than the sum of its proper divisors (231495148668).

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

105610500996 is a wasteful number, since it uses less digits than its factorization.

105610500996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 42.

It can be divided in two parts, 105610 and 500996, that added together give a palindrome (606606).

The spelling of 105610500996 in words is "one hundred five billion, six hundred ten million, five hundred thousand, nine hundred ninety-six".