103142100 has 72 divisors (see below), whose sum is σ = 301855680. Its totient is φ = 27188480.

The previous prime is 103142093. The next prime is 103142131. The reversal of 103142100 is 1241301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24769 + ... + 28631.

It is an arithmetic number, because the mean of its divisors is an integer number (4192440).

Almost surely, 2^103142100 is an apocalyptic number.

103142100 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 103142100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150927840).

103142100 is an abundant number, since it is smaller than the sum of its proper divisors (198713580).

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

103142100 is a wasteful number, since it uses less digits than its factorization.

103142100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3969 (or 3962 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 103142100 is about 10155.8899166937. The cubic root of 103142100 is about 468.9702822431.

Adding to 103142100 its reverse (1241301), we get a palindrome (104383401).

The spelling of 103142100 in words is "one hundred three million, one hundred forty-two thousand, one hundred".