105301036031160 has 128 divisors (see below), whose sum is σ = 319305221544960. Its totient is φ = 27778344384000.

The previous prime is 105301036031143. The next prime is 105301036031167. The reversal of 105301036031160 is 61130630103501.

It is a super-2 number, since 2×105301036031160² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105301036031167) 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, 10360305 + ... + 17830815.

It is an arithmetic number, because the mean of its divisors is an integer number (2494572043320).

Almost surely, 2^{105301036031160} is an apocalyptic number.

105301036031160 is a gapful number since it is divisible by the number (10) 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 105301036031160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159652610772480).

105301036031160 is an abundant number, since it is smaller than the sum of its proper divisors (214004185513800).

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

105301036031160 is a wasteful number, since it uses less digits than its factorization.

105301036031160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7471789 (or 7471785 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

Adding to 105301036031160 its reverse (61130630103501), we get a palindrome (166431666134661).

The spelling of 105301036031160 in words is "one hundred five trillion, three hundred one billion, thirty-six million, thirty-one thousand, one hundred sixty".