10103497824 has 96 divisors (see below), whose sum is σ = 30335510016. Its totient is φ = 2884331520.

The previous prime is 10103497813. The next prime is 10103497837. The reversal of 10103497824 is 42879430101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 909069 + ... + 920115.

It is an arithmetic number, because the mean of its divisors is an integer number (315994896).

Almost surely, 2^10103497824 is an apocalyptic number.

10103497824 is a gapful number since it is divisible by the number (14) 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 10103497824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15167755008).

10103497824 is an abundant number, since it is smaller than the sum of its proper divisors (20232012192).

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

10103497824 is a wasteful number, since it uses less digits than its factorization.

10103497824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12428 (or 12420 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 10103497824 in words is "ten billion, one hundred three million, four hundred ninety-seven thousand, eight hundred twenty-four".