100066656 has 48 divisors (see below), whose sum is σ = 264600000. Its totient is φ = 33111168.

The previous prime is 100066651. The next prime is 100066661. The reversal of 100066656 is 656660001.

It is an interprime number because it is at equal distance from previous prime (100066651) and next prime (100066661).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100066651) 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, 9595 + ... + 17093.

It is an arithmetic number, because the mean of its divisors is an integer number (5512500).

Almost surely, 2^100066656 is an apocalyptic number.

100066656 is a gapful number since it is divisible by the number (16) 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 100066656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132300000).

100066656 is an abundant number, since it is smaller than the sum of its proper divisors (164533344).

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

100066656 is a wasteful number, since it uses less digits than its factorization.

100066656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7651 (or 7643 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 100066656 is about 10003.3322448072. The cubic root of 100066656 is about 464.2619903708.

The spelling of 100066656 in words is "one hundred million, sixty-six thousand, six hundred fifty-six".