142868100 has 144 divisors (see below), whose sum is σ = 433541696. Its totient is φ = 36288000.

The previous prime is 142868093. The next prime is 142868129. The reversal of 142868100 is 1868241.

It is a super-2 number, since 2×142868100² = 40822587995220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 676995 + ... + 677205.

Almost surely, 2^142868100 is an apocalyptic number.

142868100 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 142868100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216770848).

142868100 is an abundant number, since it is smaller than the sum of its proper divisors (290673596).

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

142868100 is a wasteful number, since it uses less digits than its factorization.

142868100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 142868100 is about 11952.7444547267. The cubic root of 142868100 is about 522.7713234115.

The spelling of 142868100 in words is "one hundred forty-two million, eight hundred sixty-eight thousand, one hundred".