10093104 has 240 divisors, whose sum is σ = 37140480. Its totient is φ = 2488320.

The previous prime is 10093099. The next prime is 10093129. The reversal of 10093104 is 40139001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 325569 + ... + 325599.

It is an arithmetic number, because the mean of its divisors is an integer number (154752).

Almost surely, 2^10093104 is an apocalyptic number.

10093104 is a gapful number since it is divisible by the number (14) 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 10093104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18570240).

10093104 is an abundant number, since it is smaller than the sum of its proper divisors (27047376).

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

10093104 is a wasteful number, since it uses less digits than its factorization.

10093104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 10093104 is about 3176.9645890378. The cubic root of 10093104 is about 216.1100262498.

The spelling of 10093104 in words is "ten million, ninety-three thousand, one hundred four".