101142624 has 144 divisors (see below), whose sum is σ = 309234240. Its totient is φ = 28627200.

The previous prime is 101142623. The next prime is 101142647. The reversal of 101142624 is 426241101.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 101142624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101142623) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1424509 + ... + 1424579.

It is an arithmetic number, because the mean of its divisors is an integer number (2147460).

Almost surely, 2^101142624 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 101142624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154617120).

101142624 is an abundant number, since it is smaller than the sum of its proper divisors (208091616).

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

101142624 is a wasteful number, since it uses less digits than its factorization.

101142624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 101142624 is about 10056.9689270674. The cubic root of 101142624 is about 465.9200560363.

Adding to 101142624 its reverse (426241101), we get a palindrome (527383725).

The spelling of 101142624 in words is "one hundred one million, one hundred forty-two thousand, six hundred twenty-four".