100834368 has 112 divisors (see below), whose sum is σ = 284317440. Its totient is φ = 31449600.

The previous prime is 100834367. The next prime is 100834373. The reversal of 100834368 is 863438001.

It is not an unprimeable number, because it can be changed into a prime (100834367) 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, 477783 + ... + 477993.

Almost surely, 2^100834368 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 100834368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142158720).

100834368 is an abundant number, since it is smaller than the sum of its proper divisors (183483072).

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

100834368 is a wasteful number, since it uses less digits than its factorization.

100834368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 100834368 is about 10041.6317399116. The cubic root of 100834368 is about 465.4462406041.

The spelling of 100834368 in words is "one hundred million, eight hundred thirty-four thousand, three hundred sixty-eight".