105132343040 has 72 divisors (see below), whose sum is σ = 252630330288. Its totient is φ = 41918423040.

The previous prime is 105132343039. The next prime is 105132343067. The reversal of 105132343040 is 40343231501.

It is a super-2 number, since 2×105132343040² (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 7 ways as a sum of consecutive naturals, for example, 269435 + ... + 531845.

Almost surely, 2^105132343040 is an apocalyptic number.

105132343040 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 105132343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126315165144).

105132343040 is an abundant number, since it is smaller than the sum of its proper divisors (147497987248).

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

105132343040 is an equidigital number, since it uses as much as digits as its factorization.

105132343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262745 (or 262731 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 105132343040 its reverse (40343231501), we get a palindrome (145475574541).

The spelling of 105132343040 in words is "one hundred five billion, one hundred thirty-two million, three hundred forty-three thousand, forty".