25142100 has 72 divisors (see below), whose sum is σ = 74474400. Its totient is φ = 6545280.

The previous prime is 25142093. The next prime is 25142107. The reversal of 25142100 is 124152.

It is an interprime number because it is at equal distance from previous prime (25142093) and next prime (25142107).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 25142100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25142107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11926 + ... + 13874.

Almost surely, 2^25142100 is an apocalyptic number.

25142100 is a gapful number since it is divisible by the number (20) 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 25142100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37237200).

25142100 is an abundant number, since it is smaller than the sum of its proper divisors (49332300).

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

25142100 is a wasteful number, since it uses less digits than its factorization.

25142100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2009 (or 2002 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 25142100 is about 5014.1898647738. The cubic root of 25142100 is about 292.9547313648.

Adding to 25142100 its reverse (124152), we get a palindrome (25266252).

The spelling of 25142100 in words is "twenty-five million, one hundred forty-two thousand, one hundred".