101806464 has 64 divisors (see below), whose sum is σ = 282205440. Its totient is φ = 32457216.

The previous prime is 101806459. The next prime is 101806469. The reversal of 101806464 is 464608101.

It is an interprime number because it is at equal distance from previous prime (101806459) and next prime (101806469).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×101806464² = 20729112224366592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101806469) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3069 + ... + 14595.

It is an arithmetic number, because the mean of its divisors is an integer number (4409460).

Almost surely, 2^101806464 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 101806464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141102720).

101806464 is an abundant number, since it is smaller than the sum of its proper divisors (180398976).

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

101806464 is a wasteful number, since it uses less digits than its factorization.

101806464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11567 (or 11555 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 101806464 is about 10089.9189293076. The cubic root of 101806464 is about 466.9371746863.

The spelling of 101806464 in words is "one hundred one million, eight hundred six thousand, four hundred sixty-four".