105576526016 has 112 divisors (see below), whose sum is σ = 237700108800. Its totient is φ = 46122918912.

The previous prime is 105576526001. The next prime is 105576526031. The reversal of 105576526016 is 610625675501.

It is an interprime number because it is at equal distance from previous prime (105576526001) and next prime (105576526031).

It is a super-2 number, since 2×105576526016² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25021955 + ... + 25026173.

It is an arithmetic number, because the mean of its divisors is an integer number (2122322400).

Almost surely, 2^105576526016 is an apocalyptic number.

105576526016 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 105576526016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118850054400).

105576526016 is an abundant number, since it is smaller than the sum of its proper divisors (132123582784).

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

105576526016 is a wasteful number, since it uses less digits than its factorization.

105576526016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5846 (or 5836 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 44.

The spelling of 105576526016 in words is "one hundred five billion, five hundred seventy-six million, five hundred twenty-six thousand, sixteen".