100916752 has 40 divisors (see below), whose sum is σ = 212932800. Its totient is φ = 46150272.

The previous prime is 100916747. The next prime is 100916759. The reversal of 100916752 is 257619001.

It is not an unprimeable number, because it can be changed into a prime (100916759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3093 + ... + 14539.

It is an arithmetic number, because the mean of its divisors is an integer number (5323320).

Almost surely, 2^100916752 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 100916752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106466400).

100916752 is an abundant number, since it is smaller than the sum of its proper divisors (112016048).

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

100916752 is a wasteful number, since it uses less digits than its factorization.

100916752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11503 (or 11497 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 31.

The square root of 100916752 is about 10045.7330245234. The cubic root of 100916752 is about 465.5729661957.

The spelling of 100916752 in words is "one hundred million, nine hundred sixteen thousand, seven hundred fifty-two".