105950255801628 has 48 divisors (see below), whose sum is σ = 282724018504704. Its totient is φ = 30251144189760.

The previous prime is 105950255801617. The next prime is 105950255801629. The reversal of 105950255801628 is 826108552059501.

It is a super-2 number, since 2×105950255801628² (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 (105950255801629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 423988263 + ... + 424238078.

It is an arithmetic number, because the mean of its divisors is an integer number (5890083718848).

Almost surely, 2^{105950255801628} is an apocalyptic number.

It is an amenable number.

105950255801628 is an abundant number, since it is smaller than the sum of its proper divisors (176773762703076).

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

105950255801628 is a wasteful number, since it uses less digits than its factorization.

105950255801628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848227842 (or 848227840 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 57.

The spelling of 105950255801628 in words is "one hundred five trillion, nine hundred fifty billion, two hundred fifty-five million, eight hundred one thousand, six hundred twenty-eight".