101267424 has 72 divisors (see below), whose sum is σ = 289434600. Its totient is φ = 33585408.

The previous prime is 101267393. The next prime is 101267429. The reversal of 101267424 is 424762101.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101267429) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64602 + ... + 66150.

It is an arithmetic number, because the mean of its divisors is an integer number (4019925).

Almost surely, 2^101267424 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 101267424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144717300).

101267424 is an abundant number, since it is smaller than the sum of its proper divisors (188167176).

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

101267424 is a wasteful number, since it uses less digits than its factorization.

101267424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1792 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 101267424 is about 10063.1716670243. The cubic root of 101267424 is about 466.1116103690. Note that the first 3 decimals are identical.

The spelling of 101267424 in words is "one hundred one million, two hundred sixty-seven thousand, four hundred twenty-four".