105541020251860 has 48 divisors (see below), whose sum is σ = 226933687169280. Its totient is φ = 41211970090880.

The previous prime is 105541020251801. The next prime is 105541020251897. The reversal of 105541020251860 is 68152020145501.

It is a super-2 number, since 2×105541020251860² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143950126 + ... + 144681445.

It is an arithmetic number, because the mean of its divisors is an integer number (4727785149360).

Almost surely, 2^{105541020251860} is an apocalyptic number.

105541020251860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105541020251860 is an abundant number, since it is smaller than the sum of its proper divisors (121392666917420).

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

105541020251860 is a wasteful number, since it uses less digits than its factorization.

105541020251860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288632016 (or 288632014 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 40.

The spelling of 105541020251860 in words is "one hundred five trillion, five hundred forty-one billion, twenty million, two hundred fifty-one thousand, eight hundred sixty".