103497209874432 has 576 divisors, whose sum is σ = 332036497054080. Its totient is φ = 30793059532800.

The previous prime is 103497209874413. The next prime is 103497209874449. The reversal of 103497209874432 is 234478902794301.

103497209874432 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 97 + 20 + 9 + 87 + 443 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 103497209874432.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7136254893 + ... + 7136269395.

It is an arithmetic number, because the mean of its divisors is an integer number (576452251830).

Almost surely, 2^{103497209874432} is an apocalyptic number.

103497209874432 is a gapful number since it is divisible by the number (12) 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 103497209874432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166018248527040).

103497209874432 is an abundant number, since it is smaller than the sum of its proper divisors (228539287179648).

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

103497209874432 is a wasteful number, since it uses less digits than its factorization.

103497209874432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15180 (or 15157 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 103497209874432 in words is "one hundred three trillion, four hundred ninety-seven billion, two hundred nine million, eight hundred seventy-four thousand, four hundred thirty-two".