105244091887104 has 400 divisors, whose sum is σ = 327959038028160. Its totient is φ = 33538122731520.

The previous prime is 105244091887091. The next prime is 105244091887213. The reversal of 105244091887104 is 401788190442501.

It is a happy number.

105244091887104 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 440 + 9 + 18 + 87 + 104 = 666.

It is a super-2 number, since 2×105244091887104² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1841867367 + ... + 1841924505.

Almost surely, 2^{105244091887104} 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 105244091887104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163979519014080).

105244091887104 is an abundant number, since it is smaller than the sum of its proper divisors (222714946141056).

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

105244091887104 is an equidigital number, since it uses as much as digits as its factorization.

105244091887104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59123 (or 59098 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 105244091887104 in words is "one hundred five trillion, two hundred forty-four billion, ninety-one million, eight hundred eighty-seven thousand, one hundred four".