105189638440 has 72 divisors (see below), whose sum is σ = 249881551290. Its totient is φ = 39846567744.

The previous prime is 105189638353. The next prime is 105189638461. The reversal of 105189638440 is 44836981501.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 94670674596 + 10518963844 = 307686^2 + 102562^2 .

It is a super-2 number, since 2×105189638440² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 38972211 + ... + 38974909.

Almost surely, 2^105189638440 is an apocalyptic number.

105189638440 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 105189638440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124940775645).

105189638440 is an abundant number, since it is smaller than the sum of its proper divisors (144691912850).

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

105189638440 is an frugal number, since it uses more digits than its factorization.

105189638440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5447 (or 2725 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 49.

The spelling of 105189638440 in words is "one hundred five billion, one hundred eighty-nine million, six hundred thirty-eight thousand, four hundred forty".