101381616 has 120 divisors (see below), whose sum is σ = 331943040. Its totient is φ = 28280448.

The previous prime is 101381611. The next prime is 101381669. The reversal of 101381616 is 616183101.

101381616 is a `hidden beast` number, since 10 + 1 + 38 + 1 + 616 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 101381616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101381611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42175 + ... + 44513.

It is an arithmetic number, because the mean of its divisors is an integer number (2766192).

Almost surely, 2^101381616 is an apocalyptic number.

101381616 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 101381616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165971520).

101381616 is an abundant number, since it is smaller than the sum of its proper divisors (230561424).

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

101381616 is a wasteful number, since it uses less digits than its factorization.

101381616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2403 (or 2394 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 101381616 is about 10068.8438263785. The cubic root of 101381616 is about 466.2867447508.

The spelling of 101381616 in words is "one hundred one million, three hundred eighty-one thousand, six hundred sixteen".