100753368 has 64 divisors (see below), whose sum is σ = 261999360. Its totient is φ = 32259456.

The previous prime is 100753357. The next prime is 100753369. The reversal of 100753368 is 863357001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100753369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73021 + ... + 74387.

It is an arithmetic number, because the mean of its divisors is an integer number (4093740).

Almost surely, 2^100753368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100753368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130999680).

100753368 is an abundant number, since it is smaller than the sum of its proper divisors (161245992).

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

100753368 is a wasteful number, since it uses less digits than its factorization.

100753368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 100753368 is about 10037.5977205704. The cubic root of 100753368 is about 465.3215766103.

The spelling of 100753368 in words is "one hundred million, seven hundred fifty-three thousand, three hundred sixty-eight".