142324100 has 54 divisors (see below), whose sum is σ = 319342842. Its totient is φ = 55056000.

The previous prime is 142324093. The next prime is 142324121. The reversal of 142324100 is 1423241.

It can be written as a sum of positive squares in 3 ways, for example, as 6461764 + 135862336 = 2542^2 + 11656^2 .

It is a super-2 number, since 2×142324100² = 40512298881620000, which contains 22 as substring.

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 17 ways as a sum of consecutive naturals, for example, 95360 + ... + 96840.

Almost surely, 2^142324100 is an apocalyptic number.

142324100 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 142324100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159671421).

142324100 is an abundant number, since it is smaller than the sum of its proper divisors (177018742).

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

142324100 is a wasteful number, since it uses less digits than its factorization.

142324100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 142324100 is about 11929.9664710342. The cubic root of 142324100 is about 522.1069592873.

Adding to 142324100 its reverse (1423241), we get a palindrome (143747341).

Multiplying 142324100 by its reverse (1423241), we get a square (202561494408100 = 14232410²).

142324100 divided by its reverse (1423241) gives a square (100 = 10²).

The spelling of 142324100 in words is "one hundred forty-two million, three hundred twenty-four thousand, one hundred".