100142368 has 48 divisors (see below), whose sum is σ = 207881856. Its totient is φ = 47393280.

The previous prime is 100142353. The next prime is 100142381. The reversal of 100142368 is 863241001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75148 + ... + 76468.

It is an arithmetic number, because the mean of its divisors is an integer number (4330872).

Almost surely, 2^100142368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100142368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103940928).

100142368 is an abundant number, since it is smaller than the sum of its proper divisors (107739488).

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

100142368 is a wasteful number, since it uses less digits than its factorization.

100142368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 100142368 is about 10007.1158682210. The cubic root of 100142368 is about 464.3790501516.

Adding to 100142368 its reverse (863241001), we get a palindrome (963383369).

The spelling of 100142368 in words is "one hundred million, one hundred forty-two thousand, three hundred sixty-eight".