101424312 has 256 divisors, whose sum is σ = 340070400. Its totient is φ = 27993600.

The previous prime is 101424307. The next prime is 101424341. The reversal of 101424312 is 213424101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent 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 63 ways as a sum of consecutive naturals, for example, 3271737 + ... + 3271767.

It is an arithmetic number, because the mean of its divisors is an integer number (1328400).

Almost surely, 2^101424312 is an apocalyptic number.

101424312 is a gapful number since it is divisible by the number (12) 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 101424312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170035200).

101424312 is an abundant number, since it is smaller than the sum of its proper divisors (238646088).

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

101424312 is a wasteful number, since it uses less digits than its factorization.

101424312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 101424312 is about 10070.9638069055. The cubic root of 101424312 is about 466.3521931214.

Adding to 101424312 its reverse (213424101), we get a palindrome (314848413).

The spelling of 101424312 in words is "one hundred one million, four hundred twenty-four thousand, three hundred twelve".