100688949 has 12 divisors (see below), whose sum is σ = 145629900. Its totient is φ = 67038144.

The previous prime is 100688947. The next prime is 100688969. The reversal of 100688949 is 949886001.

It can be written as a sum of positive squares in 2 ways, for example, as 52664049 + 48024900 = 7257^2 + 6930^2 .

It is not a de Polignac number, because 100688949 - 2¹ = 100688947 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100688947) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 367 + ... + 14195.

It is an arithmetic number, because the mean of its divisors is an integer number (12135825).

Almost surely, 2^100688949 is an apocalyptic number.

It is an amenable number.

100688949 is a deficient number, since it is larger than the sum of its proper divisors (44940951).

100688949 is a wasteful number, since it uses less digits than its factorization.

100688949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14644 (or 14641 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 100688949 is about 10034.3883221649. The cubic root of 100688949 is about 465.2223840902. Note that the first 3 decimals are identical.

The spelling of 100688949 in words is "one hundred million, six hundred eighty-eight thousand, nine hundred forty-nine".