100766736 has 90 divisors (see below), whose sum is σ = 328071822. Its totient is φ = 28788480.

The previous prime is 100766719. The next prime is 100766741. The reversal of 100766736 is 637667001.

It can be written as a sum of positive squares in only one way, i.e., 50979600 + 49787136 = 7140^2 + 7056^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 100766736.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 85 + ... + 14196.

Almost surely, 2^100766736 is an apocalyptic number.

100766736 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 100766736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164035911).

100766736 is an abundant number, since it is smaller than the sum of its proper divisors (227305086).

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

100766736 is a wasteful number, since it uses less digits than its factorization.

100766736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14309 (or 14293 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 100766736 is about 10038.2635948654. The cubic root of 100766736 is about 465.3421553888.

The spelling of 100766736 in words is "one hundred million, seven hundred sixty-six thousand, seven hundred thirty-six".