103431989456640 has 2160 divisors, whose sum is σ = 430393252500288. Its totient is φ = 23495771160576.

The previous prime is 103431989456633. The next prime is 103431989456659. The reversal of 103431989456640 is 46654989134301.

It is a happy number.

103431989456640 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 31 + 98 + 9 + 456 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 64363402717 + ... + 64363404323.

Almost surely, 2^{103431989456640} is an apocalyptic number.

103431989456640 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 103431989456640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215196626250144).

103431989456640 is an abundant number, since it is smaller than the sum of its proper divisors (326961263043648).

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

103431989456640 is a wasteful number, since it uses less digits than its factorization.

103431989456640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 103431989456640 in words is "one hundred three trillion, four hundred thirty-one billion, nine hundred eighty-nine million, four hundred fifty-six thousand, six hundred forty".