105031411440 has 80 divisors (see below), whose sum is σ = 344750175648. Its totient is φ = 26360823808.

The previous prime is 105031411439. The next prime is 105031411493. The reversal of 105031411440 is 44114130501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105031411440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 105031411440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12867417 + ... + 12875576.

Almost surely, 2^105031411440 is an apocalyptic number.

105031411440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105031411440 is an abundant number, since it is smaller than the sum of its proper divisors (239718764208).

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

105031411440 is a wasteful number, since it uses less digits than its factorization.

105031411440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25743026 (or 25743020 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 105031411440 its reverse (44114130501), we get a palindrome (149145541941).

The spelling of 105031411440 in words is "one hundred five billion, thirty-one million, four hundred eleven thousand, four hundred forty".