11257900 has 36 divisors (see below), whose sum is σ = 24689392. Its totient is φ = 4455360.

The previous prime is 11257891. The next prime is 11257901. The reversal of 11257900 is 975211.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (11257901) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 9754 + ... + 10846.

Almost surely, 2^11257900 is an apocalyptic number.

11257900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11257900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12344696).

11257900 is an abundant number, since it is smaller than the sum of its proper divisors (13431492).

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

11257900 is a wasteful number, since it uses less digits than its factorization.

11257900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 25.

The square root of 11257900 is about 3355.2794220452. The cubic root of 11257900 is about 224.1226740890.

It can be divided in two parts, 1125 and 7900, that added together give a square (9025 = 95²).

The spelling of 11257900 in words is "eleven million, two hundred fifty-seven thousand, nine hundred".