10103242968 has 384 divisors, whose sum is σ = 35567179200. Its totient is φ = 2633637888.

The previous prime is 10103242967. The next prime is 10103243011. The reversal of 10103242968 is 86924230101.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10103242967) 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, 13346046 + ... + 13346802.

Almost surely, 2^10103242968 is an apocalyptic number.

10103242968 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 10103242968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17783589600).

10103242968 is an abundant number, since it is smaller than the sum of its proper divisors (25463936232).

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

10103242968 is a wasteful number, since it uses less digits than its factorization.

10103242968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 10103242968 in words is "ten billion, one hundred three million, two hundred forty-two thousand, nine hundred sixty-eight".