101142468 has 72 divisors (see below), whose sum is σ = 298188800. Its totient is φ = 28894320.

The previous prime is 101142443. The next prime is 101142473. The reversal of 101142468 is 864241101.

It is a happy 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, 8253 + ... + 16443.

Almost surely, 2^101142468 is an apocalyptic number.

101142468 is a gapful number since it is divisible by the number (18) 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 101142468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149094400).

101142468 is an abundant number, since it is smaller than the sum of its proper divisors (197046332).

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

101142468 is a wasteful number, since it uses less digits than its factorization.

101142468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8222 (or 8203 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 101142468 is about 10056.9611712485. The cubic root of 101142468 is about 465.9198164948.

Adding to 101142468 its reverse (864241101), we get a palindrome (965383569).

The spelling of 101142468 in words is "one hundred one million, one hundred forty-two thousand, four hundred sixty-eight".