105240331000 has 128 divisors (see below), whose sum is σ = 282005193600. Its totient is φ = 36010291200.

The previous prime is 105240330989. The next prime is 105240331039. The reversal of 105240331000 is 133042501.

It is a super-2 number, since 2×105240331000² (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 31 ways as a sum of consecutive naturals, for example, 3548232 + ... + 3577768.

It is an arithmetic number, because the mean of its divisors is an integer number (2203165575).

Almost surely, 2^105240331000 is an apocalyptic number.

105240331000 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 105240331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141002596800).

105240331000 is an abundant number, since it is smaller than the sum of its proper divisors (176764862600).

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

105240331000 is a wasteful number, since it uses less digits than its factorization.

105240331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30074 (or 30060 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 105240331000 its reverse (133042501), we get a palindrome (105373373501).

The spelling of 105240331000 in words is "one hundred five billion, two hundred forty million, three hundred thirty-one thousand".