105115254040 has 64 divisors (see below), whose sum is σ = 241049973600. Its totient is φ = 41239391232.

The previous prime is 105115254037. The next prime is 105115254077. The reversal of 105115254040 is 40452511501.

105115254040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105115254040² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 8798391 + ... + 8810329.

Almost surely, 2^105115254040 is an apocalyptic number.

105115254040 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 105115254040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120524986800).

105115254040 is an abundant number, since it is smaller than the sum of its proper divisors (135934719560).

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

105115254040 is a wasteful number, since it uses less digits than its factorization.

105115254040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16156 (or 16152 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 28.

Adding to 105115254040 its reverse (40452511501), we get a palindrome (145567765541).

The spelling of 105115254040 in words is "one hundred five billion, one hundred fifteen million, two hundred fifty-four thousand, forty".