105056120905824 has 192 divisors, whose sum is σ = 313958466920448. Its totient is φ = 30447574080000.

The previous prime is 105056120905781. The next prime is 105056120905831. The reversal of 105056120905824 is 428509021650501.

It is a super-2 number, since 2×105056120905824² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216479449 + ... + 216964199.

It is an arithmetic number, because the mean of its divisors is an integer number (1635200348544).

Almost surely, 2^{105056120905824} 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 105056120905824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156979233460224).

105056120905824 is an abundant number, since it is smaller than the sum of its proper divisors (208902346014624).

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

105056120905824 is a wasteful number, since it uses less digits than its factorization.

105056120905824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493721 (or 493713 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 48.

The spelling of 105056120905824 in words is "one hundred five trillion, fifty-six billion, one hundred twenty million, nine hundred five thousand, eight hundred twenty-four".