10142100 has 108 divisors (see below), whose sum is σ = 32497920. Its totient is φ = 2644800.

The previous prime is 10142087. The next prime is 10142113. The reversal of 10142100 is 124101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10142087) and next prime (10142113).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 53005 + ... + 53195.

Almost surely, 2^10142100 is an apocalyptic number.

10142100 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 10142100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16248960).

10142100 is an abundant number, since it is smaller than the sum of its proper divisors (22355820).

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

10142100 is a wasteful number, since it uses less digits than its factorization.

10142100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 10142100 is about 3184.6663875514. Note that the first 3 decimals coincide. The cubic root of 10142100 is about 216.4591570108.

Adding to 10142100 its reverse (124101), we get a palindrome (10266201).

The spelling of 10142100 in words is "ten million, one hundred forty-two thousand, one hundred".