105254350120 has 64 divisors (see below), whose sum is σ = 251332819920. Its totient is φ = 39533543424.

The previous prime is 105254350087. The next prime is 105254350133. The reversal of 105254350120 is 21053452501.

It can be written as a sum of positive squares in 8 ways, for example, as 13906541476 + 91347808644 = 117926^2 + 302238^2 .

It is a super-2 number, since 2×105254350120² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115704 + ... + 473176.

Almost surely, 2^105254350120 is an apocalyptic number.

105254350120 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 105254350120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125666409960).

105254350120 is an abundant number, since it is smaller than the sum of its proper divisors (146078469800).

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

105254350120 is a wasteful number, since it uses less digits than its factorization.

105254350120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357934 (or 357930 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The spelling of 105254350120 in words is "one hundred five billion, two hundred fifty-four million, three hundred fifty thousand, one hundred twenty".