15142100 has 36 divisors (see below), whose sum is σ = 33490044. Its totient is φ = 5940480.

The previous prime is 15142097. The next prime is 15142103. The reversal of 15142100 is 124151.

15142100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (15142097) and next prime (15142103).

It can be written as a sum of positive squares in 6 ways, for example, as 56644 + 15085456 = 238^2 + 3884^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15142103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3872 + ... + 6728.

It is an arithmetic number, because the mean of its divisors is an integer number (930279).

Almost surely, 2^15142100 is an apocalyptic number.

15142100 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 15142100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16745022).

15142100 is an abundant number, since it is smaller than the sum of its proper divisors (18347944).

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

15142100 is a wasteful number, since it uses less digits than its factorization.

15142100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2924 (or 2917 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 15142100 is about 3891.2851347595. The cubic root of 15142100 is about 247.3975360646.

Adding to 15142100 its reverse (124151), we get a palindrome (15266251).

The spelling of 15142100 in words is "fifteen million, one hundred forty-two thousand, one hundred".