10205034 has 48 divisors (see below), whose sum is σ = 24043968. Its totient is φ = 2878848.

The previous prime is 10205017. The next prime is 10205051. The reversal of 10205034 is 43050201.

It is an interprime number because it is at equal distance from previous prime (10205017) and next prime (10205051).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30114 + ... + 30450.

It is an arithmetic number, because the mean of its divisors is an integer number (500916).

Almost surely, 2^10205034 is an apocalyptic number.

10205034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10205034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12021984).

10205034 is an abundant number, since it is smaller than the sum of its proper divisors (13838934).

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

10205034 is a wasteful number, since it uses less digits than its factorization.

10205034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 10205034 is about 3194.5318905905. The cubic root of 10205034 is about 216.9059599460.

Adding to 10205034 its reverse (43050201), we get a palindrome (53255235).

The spelling of 10205034 in words is "ten million, two hundred five thousand, thirty-four".