101412320 has 48 divisors (see below), whose sum is σ = 244127520. Its totient is φ = 39796224.

The previous prime is 101412307. The next prime is 101412331. The reversal of 101412320 is 23214101.

It is a junction number, because it is equal to n+sod(n) for n = 101412295 and 101412304.

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 7 ways as a sum of consecutive naturals, for example, 2501 + ... + 14459.

It is an arithmetic number, because the mean of its divisors is an integer number (5085990).

Almost surely, 2^101412320 is an apocalyptic number.

101412320 is a gapful number since it is divisible by the number (10) 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 101412320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122063760).

101412320 is an abundant number, since it is smaller than the sum of its proper divisors (142715200).

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

101412320 is a wasteful number, since it uses less digits than its factorization.

101412320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12027 (or 12019 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 101412320 is about 10070.3684143134. The cubic root of 101412320 is about 466.3338125319. Note that the first 3 decimals are identical.

Adding to 101412320 its reverse (23214101), we get a palindrome (124626421).

The spelling of 101412320 in words is "one hundred one million, four hundred twelve thousand, three hundred twenty".