105374789440 has 28 divisors (see below), whose sum is σ = 250923718116. Its totient is φ = 42149915648.

The previous prime is 105374789437. The next prime is 105374789449. The reversal of 105374789440 is 44987473501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 33301870144 + 72072919296 = 182488^2 + 268464^2 .

It is a super-2 number, since 2×105374789440² (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 (105374789449) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 164647789 + ... + 164648428.

Almost surely, 2^105374789440 is an apocalyptic number.

105374789440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105374789440 is an abundant number, since it is smaller than the sum of its proper divisors (145548928676).

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

105374789440 is an equidigital number, since it uses as much as digits as its factorization.

105374789440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329296234 (or 329296224 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 52.

The spelling of 105374789440 in words is "one hundred five billion, three hundred seventy-four million, seven hundred eighty-nine thousand, four hundred forty".