100505664 has 168 divisors, whose sum is σ = 343997280. Its totient is φ = 28691712.

The previous prime is 100505659. The next prime is 100505729. The reversal of 100505664 is 466505001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

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

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 23 ways as a sum of consecutive naturals, for example, 84079 + ... + 85265.

Almost surely, 2^100505664 is an apocalyptic number.

100505664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100505664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171998640).

100505664 is an abundant number, since it is smaller than the sum of its proper divisors (243491616).

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

100505664 is a wasteful number, since it uses less digits than its factorization.

100505664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 100505664 is about 10025.2513185456. The cubic root of 100505664 is about 464.9399298053.

The spelling of 100505664 in words is "one hundred million, five hundred five thousand, six hundred sixty-four".