101312544 has 96 divisors (see below), whose sum is σ = 278087040. Its totient is φ = 32256000.

The previous prime is 101312543. The next prime is 101312567. The reversal of 101312544 is 445213101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 101312544.

It is not an unprimeable number, because it can be changed into a prime (101312543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 420264 + ... + 420504.

It is an arithmetic number, because the mean of its divisors is an integer number (2896740).

Almost surely, 2^101312544 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 101312544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139043520).

101312544 is an abundant number, since it is smaller than the sum of its proper divisors (176774496).

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

101312544 is a wasteful number, since it uses less digits than its factorization.

101312544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 101312544 is about 10065.4132553015. The cubic root of 101312544 is about 466.1808258921.

Adding to 101312544 its reverse (445213101), we get a palindrome (546525645).

The spelling of 101312544 in words is "one hundred one million, three hundred twelve thousand, five hundred forty-four".