103506397488 has 480 divisors, whose sum is σ = 333311666688. Its totient is φ = 29760307200.

The previous prime is 103506397487. The next prime is 103506397513. The reversal of 103506397488 is 884793605301.

103506397488 is a `hidden beast` number, since 1 + 0 + 3 + 506 + 3 + 97 + 48 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (103506397487) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 224525578 + ... + 224526038.

Almost surely, 2^103506397488 is an apocalyptic number.

103506397488 is a gapful number since it is divisible by the number (18) 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 103506397488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166655833344).

103506397488 is an abundant number, since it is smaller than the sum of its proper divisors (229805269200).

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

103506397488 is a wasteful number, since it uses less digits than its factorization.

103506397488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 103506397488 in words is "one hundred three billion, five hundred six million, three hundred ninety-seven thousand, four hundred eighty-eight".