100078398 has 48 divisors (see below), whose sum is σ = 248976000. Its totient is φ = 28459728.

The previous prime is 100078387. The next prime is 100078399. The reversal of 100078398 is 893870001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100078399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26853 + ... + 30351.

It is an arithmetic number, because the mean of its divisors is an integer number (5187000).

Almost surely, 2^100078398 is an apocalyptic number.

100078398 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100078398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124488000).

100078398 is an abundant number, since it is smaller than the sum of its proper divisors (148897602).

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

100078398 is a wasteful number, since it uses less digits than its factorization.

100078398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3741 (or 3738 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 100078398 is about 10003.9191320202. The cubic root of 100078398 is about 464.2801487707.

The spelling of 100078398 in words is "one hundred million, seventy-eight thousand, three hundred ninety-eight".