10090152 has 48 divisors (see below), whose sum is σ = 27473940. Its totient is φ = 3345408.

The previous prime is 10090151. The next prime is 10090183. The reversal of 10090152 is 25109001.

It can be written as a sum of positive squares in 2 ways, for example, as 10074276 + 15876 = 3174^2 + 126^2 .

It is a super-2 number, since 2×10090152² = 203622334766208, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10090151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25218 + ... + 25614.

Almost surely, 2^10090152 is an apocalyptic number.

10090152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 3176×3177.

It is an amenable number.

10090152 is an abundant number, since it is smaller than the sum of its proper divisors (17383788).

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

10090152 is a wasteful number, since it uses less digits than its factorization.

10090152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 10090152 is about 3176.4999606485. The cubic root of 10090152 is about 216.0889551302.

Adding to 10090152 its reverse (25109001), we get a palindrome (35199153).

The spelling of 10090152 in words is "ten million, ninety thousand, one hundred fifty-two".