105261203140 has 48 divisors (see below), whose sum is σ = 228725204400. Its totient is φ = 40642947072.

The previous prime is 105261203119. The next prime is 105261203191. The reversal of 105261203140 is 41302162501.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 49334628996 + 55926574144 = 222114^2 + 236488^2 .

It is a super-2 number, since 2×105261203140² (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, 2723632 + ... + 2762008.

It is an arithmetic number, because the mean of its divisors is an integer number (4765108425).

Almost surely, 2^105261203140 is an apocalyptic number.

105261203140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105261203140 is an abundant number, since it is smaller than the sum of its proper divisors (123464001260).

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

105261203140 is a wasteful number, since it uses less digits than its factorization.

105261203140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43144 (or 43142 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 105261203140 its reverse (41302162501), we get a palindrome (146563365641).

The spelling of 105261203140 in words is "one hundred five billion, two hundred sixty-one million, two hundred three thousand, one hundred forty".