105620995826112 has 224 divisors, whose sum is σ = 302342173072128. Its totient is φ = 32348990767104.

The previous prime is 105620995826111. The next prime is 105620995826149. The reversal of 105620995826112 is 211628599026501.

It is a super-2 number, since 2×105620995826112² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105620995826111) 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, 495946083 + ... + 496159005.

It is an arithmetic number, because the mean of its divisors is an integer number (1349741844072).

Almost surely, 2^{105620995826112} is an apocalyptic number.

105620995826112 is a gapful number since it is divisible by the number (12) 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 105620995826112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151171086536064).

105620995826112 is an abundant number, since it is smaller than the sum of its proper divisors (196721177246016).

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

105620995826112 is a wasteful number, since it uses less digits than its factorization.

105620995826112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213867 (or 213857 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 57.

The spelling of 105620995826112 in words is "one hundred five trillion, six hundred twenty billion, nine hundred ninety-five million, eight hundred twenty-six thousand, one hundred twelve".