101686356 has 18 divisors (see below), whose sum is σ = 257040602. Its totient is φ = 33895440.

The previous prime is 101686349. The next prime is 101686363. The reversal of 101686356 is 653686101.

It is a happy number.

101686356 is a `hidden beast` number, since 1 + 0 + 16 + 8 + 635 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (101686349) and next prime (101686363).

It can be written as a sum of positive squares in only one way, i.e., 100400400 + 1285956 = 10020^2 + 1134^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×101686356² = 20680229993117472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2824621 = 101686356 / (1 + 0 + 1 + 6 + 8 + 6 + 3 + 5 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 101686356.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1412275 + ... + 1412346.

Almost surely, 2^101686356 is an apocalyptic number.

It is an amenable number.

101686356 is an abundant number, since it is smaller than the sum of its proper divisors (155354246).

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

101686356 is a wasteful number, since it uses less digits than its factorization.

101686356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2824631 (or 2824626 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 101686356 is about 10083.9652914912. The cubic root of 101686356 is about 466.7534765943.

It can be divided in two parts, 10 and 1686356, that added together give a triangular number (1686366 = T₁₈₃₆).

The spelling of 101686356 in words is "one hundred one million, six hundred eighty-six thousand, three hundred fifty-six".