10093410 has 80 divisors (see below), whose sum is σ = 28775736. Its totient is φ = 2529792.

The previous prime is 10093399. The next prime is 10093411. The reversal of 10093410 is 1439001.

It can be written as a sum of positive squares in 4 ways, for example, as 10093329 + 81 = 3177^2 + 9^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10093411) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13404 + ... + 14136.

Almost surely, 2^10093410 is an apocalyptic number.

10093410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10093410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14387868).

10093410 is an abundant number, since it is smaller than the sum of its proper divisors (18682326).

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

10093410 is a wasteful number, since it uses less digits than its factorization.

10093410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 760 counting only the distinct ones).

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

The square root of 10093410 is about 3177.0127478498. The cubic root of 10093410 is about 216.1122102161.

The spelling of 10093410 in words is "ten million, ninety-three thousand, four hundred ten".