105130623216 has 80 divisors (see below), whose sum is σ = 281241999360. Its totient is φ = 33800282880.

The previous prime is 105130623149. The next prime is 105130623217. The reversal of 105130623216 is 612326031501.

It is a super-2 number, since 2×105130623216² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105130623217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1329921 + ... + 1406751.

It is an arithmetic number, because the mean of its divisors is an integer number (3515524992).

Almost surely, 2^105130623216 is an apocalyptic number.

105130623216 is a gapful number since it is divisible by the number (16) 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 105130623216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140620999680).

105130623216 is an abundant number, since it is smaller than the sum of its proper divisors (176111376144).

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

105130623216 is a wasteful number, since it uses less digits than its factorization.

105130623216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77854 (or 77848 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

Adding to 105130623216 its reverse (612326031501), we get a palindrome (717456654717).

The spelling of 105130623216 in words is "one hundred five billion, one hundred thirty million, six hundred twenty-three thousand, two hundred sixteen".