10127250 has 96 divisors (see below), whose sum is σ = 31344768. Its totient is φ = 2311200.

The previous prime is 10127237. The next prime is 10127263. The reversal of 10127250 is 5272101.

10127250 is a nontrivial binomial coefficient, being equal to C(4501, 2).

It is an interprime number because it is at equal distance from previous prime (10127237) and next prime (10127263).

It is a super-2 number, since 2×10127250² = 205122385125000, which contains 22 as substring.

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

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15429 + ... + 16071.

It is an arithmetic number, because the mean of its divisors is an integer number (326508).

Almost surely, 2^10127250 is an apocalyptic number.

10127250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10127250 is the 4500-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10127250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15672384).

10127250 is an abundant number, since it is smaller than the sum of its proper divisors (21217518).

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

10127250 is a wasteful number, since it uses less digits than its factorization.

10127250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 10127250 is about 3182.3340490904. The cubic root of 10127250 is about 216.3534593544.

Adding to 10127250 its reverse (5272101), we get a palindrome (15399351).

It can be divided in two parts, 10 and 127250, that added together give a triangular number (127260 = T₅₀₄).

The spelling of 10127250 in words is "ten million, one hundred twenty-seven thousand, two hundred fifty".