101327616 has 216 divisors, whose sum is σ = 334807200. Its totient is φ = 29196288.

The previous prime is 101327593. The next prime is 101327617. The reversal of 101327616 is 616723101.

101327616 is a `hidden beast` number, since 10 + 1 + 32 + 7 + 616 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 101327616.

It is not an unprimeable number, because it can be changed into a prime (101327617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 509085 + ... + 509283.

Almost surely, 2^101327616 is an apocalyptic number.

101327616 is a gapful number since it is divisible by the number (16) 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 101327616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167403600).

101327616 is an abundant number, since it is smaller than the sum of its proper divisors (233479584).

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

101327616 is a wasteful number, since it uses less digits than its factorization.

101327616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 101327616 is about 10066.1619299513. The cubic root of 101327616 is about 466.2039422432.

The spelling of 101327616 in words is "one hundred one million, three hundred twenty-seven thousand, six hundred sixteen".