100735616 has 64 divisors (see below), whose sum is σ = 211507200. Its totient is φ = 47723520.

The previous prime is 100735543. The next prime is 100735619. The reversal of 100735616 is 616537001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (100735619) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 210065 + ... + 210543.

It is an arithmetic number, because the mean of its divisors is an integer number (3304800).

Almost surely, 2^100735616 is an apocalyptic number.

100735616 is a gapful number since it is divisible by the number (16) 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 100735616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105753600).

100735616 is an abundant number, since it is smaller than the sum of its proper divisors (110771584).

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

100735616 is an equidigital number, since it uses as much as digits as its factorization.

100735616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 100735616 is about 10036.7134062899. The cubic root of 100735616 is about 465.2942462623.

The spelling of 100735616 in words is "one hundred million, seven hundred thirty-five thousand, six hundred sixteen".