105431540500 has 192 divisors, whose sum is σ = 273066183936. Its totient is φ = 35056320000.

The previous prime is 105431540477. The next prime is 105431540503. The reversal of 105431540500 is 5045134501.

It is a super-2 number, since 2×105431540500² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105431540503) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7643610 + ... + 7657390.

It is an arithmetic number, because the mean of its divisors is an integer number (1422219708).

Almost surely, 2^105431540500 is an apocalyptic number.

105431540500 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 105431540500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136533091968).

105431540500 is an abundant number, since it is smaller than the sum of its proper divisors (167634643436).

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

105431540500 is a wasteful number, since it uses less digits than its factorization.

105431540500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13931 (or 13919 counting only the distinct ones).

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

The spelling of 105431540500 in words is "one hundred five billion, four hundred thirty-one million, five hundred forty thousand, five hundred".