100692240 has 160 divisors (see below), whose sum is σ = 348834816. Its totient is φ = 23815680.

The previous prime is 100692239. The next prime is 100692257. The reversal of 100692240 is 42296001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 100692240.

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 31 ways as a sum of consecutive naturals, for example, 113077 + ... + 113963.

Almost surely, 2^100692240 is an apocalyptic number.

100692240 is a gapful number since it is divisible by the number (10) 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 100692240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174417408).

100692240 is an abundant number, since it is smaller than the sum of its proper divisors (248142576).

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

100692240 is a wasteful number, since it uses less digits than its factorization.

100692240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 100692240 is about 10034.5523069044. The cubic root of 100692240 is about 465.2274526047.

The spelling of 100692240 in words is "one hundred million, six hundred ninety-two thousand, two hundred forty".