100248268848 has 320 divisors, whose sum is σ = 327579033600. Its totient is φ = 25710059520.

The previous prime is 100248268831. The next prime is 100248268849. The reversal of 100248268848 is 848862842001.

It is a self number, because there is not a number n which added to its sum of digits gives 100248268848.

It is not an unprimeable number, because it can be changed into a prime (100248268849) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69664513 + ... + 69665951.

It is an arithmetic number, because the mean of its divisors is an integer number (1023684480).

Almost surely, 2^100248268848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100248268848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163789516800).

100248268848 is an abundant number, since it is smaller than the sum of its proper divisors (227330764752).

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

100248268848 is a wasteful number, since it uses less digits than its factorization.

100248268848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1900 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 51.

The spelling of 100248268848 in words is "one hundred billion, two hundred forty-eight million, two hundred sixty-eight thousand, eight hundred forty-eight".