101617312 has 48 divisors (see below), whose sum is σ = 210978432. Its totient is φ = 48083200.

The previous prime is 101617291. The next prime is 101617319. The reversal of 101617312 is 213716101.

It is not an unprimeable number, because it can be changed into a prime (101617319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73653 + ... + 75019.

It is an arithmetic number, because the mean of its divisors is an integer number (4395384).

Almost surely, 2^101617312 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 101617312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105489216).

101617312 is an abundant number, since it is smaller than the sum of its proper divisors (109361120).

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

101617312 is a wasteful number, since it uses less digits than its factorization.

101617312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 101617312 is about 10080.5412553097. The cubic root of 101617312 is about 466.6478123902.

The spelling of 101617312 in words is "one hundred one million, six hundred seventeen thousand, three hundred twelve".