105032315140 has 96 divisors (see below), whose sum is σ = 234595912320. Its totient is φ = 39444765696.

The previous prime is 105032315117. The next prime is 105032315149. The reversal of 105032315140 is 41513230501.

It is a happy number.

It is a super-2 number, since 2×105032315140² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105032315149) 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, 2621176 + ... + 2660944.

It is an arithmetic number, because the mean of its divisors is an integer number (2443707420).

Almost surely, 2^105032315140 is an apocalyptic number.

105032315140 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 105032315140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117297956160).

105032315140 is an abundant number, since it is smaller than the sum of its proper divisors (129563597180).

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

105032315140 is a wasteful number, since it uses less digits than its factorization.

105032315140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39941 (or 39939 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 105032315140 its reverse (41513230501), we get a palindrome (146545545641).

The spelling of 105032315140 in words is "one hundred five billion, thirty-two million, three hundred fifteen thousand, one hundred forty".