105023514232520 has 128 divisors (see below), whose sum is σ = 265685782924800. Its totient is φ = 37072168556544.

The previous prime is 105023514232499. The next prime is 105023514232523. The reversal of 105023514232520 is 25232415320501.

It is a super-2 number, since 2×105023514232520² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105023514232523) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20136164 + ... + 24809516.

It is an arithmetic number, because the mean of its divisors is an integer number (2075670179100).

Almost surely, 2^{105023514232520} is an apocalyptic number.

105023514232520 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 105023514232520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132842891462400).

105023514232520 is an abundant number, since it is smaller than the sum of its proper divisors (160662268692280).

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

105023514232520 is a wasteful number, since it uses less digits than its factorization.

105023514232520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4675279 (or 4675275 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The spelling of 105023514232520 in words is "one hundred five trillion, twenty-three billion, five hundred fourteen million, two hundred thirty-two thousand, five hundred twenty".