106636464 has 120 divisors (see below), whose sum is σ = 339835392. Its totient is φ = 30898560.

The previous prime is 106636457. The next prime is 106636499. The reversal of 106636464 is 464636601.

106636464 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 3 + 646 + 4 = 666.

It is a super-3 number, since 3×106636464³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34969 + ... + 37895.

Almost surely, 2^106636464 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 106636464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169917696).

106636464 is an abundant number, since it is smaller than the sum of its proper divisors (233198928).

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

106636464 is a wasteful number, since it uses less digits than its factorization.

106636464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2975 (or 2966 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 106636464 is about 10326.4933060551. The cubic root of 106636464 is about 474.2076748471.

The spelling of 106636464 in words is "one hundred six million, six hundred thirty-six thousand, four hundred sixty-four".