101142816 has 24 divisors (see below), whose sum is σ = 265500144. Its totient is φ = 33714240.

The previous prime is 101142803. The next prime is 101142817. The reversal of 101142816 is 618241101.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×101142816³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (101142817) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 526690 + ... + 526881.

It is an arithmetic number, because the mean of its divisors is an integer number (11062506).

Almost surely, 2^101142816 is an apocalyptic number.

101142816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101142816 is an abundant number, since it is smaller than the sum of its proper divisors (164357328).

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

101142816 is a wasteful number, since it uses less digits than its factorization.

101142816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053584 (or 1053576 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 101142816 is about 10056.9784726825. The cubic root of 101142816 is about 465.9203508562.

Adding to 101142816 its reverse (618241101), we get a palindrome (719383917).

The spelling of 101142816 in words is "one hundred one million, one hundred forty-two thousand, eight hundred sixteen".