10125288 has 24 divisors (see below), whose sum is σ = 27422850. Its totient is φ = 3375072.

The previous prime is 10125287. The next prime is 10125289. The reversal of 10125288 is 88252101.

It is an interprime number because it is at equal distance from previous prime (10125287) and next prime (10125289).

It can be written as a sum of positive squares in only one way, i.e., 5116644 + 5008644 = 2262^2 + 2238^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×10125288³ (a number of 22 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10125287) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70243 + ... + 70386.

Almost surely, 2^10125288 is an apocalyptic number.

10125288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10125288 is an abundant number, since it is smaller than the sum of its proper divisors (17297562).

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

10125288 is a wasteful number, since it uses less digits than its factorization.

10125288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140641 (or 140634 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 10125288 is about 3182.0257698517. The cubic root of 10125288 is about 216.3394867261.

Adding to 10125288 its reverse (88252101), we get a palindrome (98377389).

The spelling of 10125288 in words is "ten million, one hundred twenty-five thousand, two hundred eighty-eight".