100243968 has 160 divisors (see below), whose sum is σ = 309355200. Its totient is φ = 28508160.

The previous prime is 100243967. The next prime is 100243973. The reversal of 100243968 is 869342001.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (100243963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 287058 + ... + 287406.

It is an arithmetic number, because the mean of its divisors is an integer number (1933470).

Almost surely, 2^100243968 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 100243968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154677600).

100243968 is an abundant number, since it is smaller than the sum of its proper divisors (209111232).

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

100243968 is a wasteful number, since it uses less digits than its factorization.

100243968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 100243968 is about 10012.1909690137. The cubic root of 100243968 is about 464.5360431924.

Adding to 100243968 its reverse (869342001), we get a palindrome (969585969).

The spelling of 100243968 in words is "one hundred million, two hundred forty-three thousand, nine hundred sixty-eight".