101339316 has 96 divisors (see below), whose sum is σ = 286473600. Its totient is φ = 30792960.

The previous prime is 101339297. The next prime is 101339317. The reversal of 101339316 is 613933101.

101339316 is a `hidden beast` number, since 10 + 1 + 339 + 316 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 101339316.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101339317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124551 + ... + 125361.

It is an arithmetic number, because the mean of its divisors is an integer number (2984100).

Almost surely, 2^101339316 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 101339316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143236800).

101339316 is an abundant number, since it is smaller than the sum of its proper divisors (185134284).

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

101339316 is a wasteful number, since it uses less digits than its factorization.

101339316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 101339316 is about 10066.7430681427. The cubic root of 101339316 is about 466.2218852825.

The spelling of 101339316 in words is "one hundred one million, three hundred thirty-nine thousand, three hundred sixteen".