100994688 has 192 divisors, whose sum is σ = 320785920. Its totient is φ = 31518720.

The previous prime is 100994687. The next prime is 100994701. The reversal of 100994688 is 886499001.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (100994687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 528673 + ... + 528863.

It is an arithmetic number, because the mean of its divisors is an integer number (1670760).

Almost surely, 2^100994688 is an apocalyptic number.

100994688 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 100994688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160392960).

100994688 is an abundant number, since it is smaller than the sum of its proper divisors (219791232).

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

100994688 is an equidigital number, since it uses as much as digits as its factorization.

100994688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 100994688 is about 10049.6113357682. The cubic root of 100994688 is about 465.6927862694.

The spelling of 100994688 in words is "one hundred million, nine hundred ninety-four thousand, six hundred eighty-eight".