101610216 has 48 divisors (see below), whose sum is σ = 278050500. Its totient is φ = 33518592.

The previous prime is 101610211. The next prime is 101610239. The reversal of 101610216 is 612016101.

It can be written as a sum of positive squares in 2 ways, for example, as 99082116 + 2528100 = 9954^2 + 1590^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101610211) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 291 + ... + 14258.

Almost surely, 2^101610216 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 101610216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139025250).

101610216 is an abundant number, since it is smaller than the sum of its proper divisors (176440284).

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

101610216 is a wasteful number, since it uses less digits than its factorization.

101610216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14658 (or 14651 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 101610216 is about 10080.1892839371. The cubic root of 101610216 is about 466.6369500352.

Adding to 101610216 its reverse (612016101), we get a palindrome (713626317).

The spelling of 101610216 in words is "one hundred one million, six hundred ten thousand, two hundred sixteen".