101686464 has 126 divisors (see below), whose sum is σ = 320591180. Its totient is φ = 30792960.

The previous prime is 101686463. The next prime is 101686483. The reversal of 101686464 is 464686101.

101686464 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 8 + 646 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (101686463) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 68967 + ... + 70425.

Almost surely, 2^101686464 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 101686464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160295590).

101686464 is an abundant number, since it is smaller than the sum of its proper divisors (218904716).

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

101686464 is a wasteful number, since it uses less digits than its factorization.

101686464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1499 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 101686464 is about 10083.9706465261. The cubic root of 101686464 is about 466.7536418388.

The spelling of 101686464 in words is "one hundred one million, six hundred eighty-six thousand, four hundred sixty-four".