100940736 has 112 divisors (see below), whose sum is σ = 295660064. Its totient is φ = 30191616.

The previous prime is 100940731. The next prime is 100940759. The reversal of 100940736 is 637049001.

It is a happy number.

100940736 is a nontrivial binomial coefficient, being equal to C(14209, 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100940731) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91806 + ... + 92898.

It is an arithmetic number, because the mean of its divisors is an integer number (2639822).

Almost surely, 2^100940736 is an apocalyptic number.

100940736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

100940736 is the 14208-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100940736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147830032).

100940736 is an abundant number, since it is smaller than the sum of its proper divisors (194719328).

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

100940736 is a wasteful number, since it uses less digits than its factorization.

100940736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 100940736 is about 10046.9266942683. The cubic root of 100940736 is about 465.6098461564.

Adding to 100940736 its reverse (637049001), we get a palindrome (737989737).

The spelling of 100940736 in words is "one hundred million, nine hundred forty thousand, seven hundred thirty-six".