100735120 has 80 divisors (see below), whose sum is σ = 244270080. Its totient is φ = 38592000.

The previous prime is 100735091. The next prime is 100735153. The reversal of 100735120 is 21537001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 374346 + ... + 374614.

It is an arithmetic number, because the mean of its divisors is an integer number (3053376).

Almost surely, 2^100735120 is an apocalyptic number.

100735120 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 100735120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122135040).

100735120 is an abundant number, since it is smaller than the sum of its proper divisors (143534960).

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

100735120 is a wasteful number, since it uses less digits than its factorization.

100735120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 100735120 is about 10036.6886969757. The cubic root of 100735120 is about 465.2934825923.

The spelling of 100735120 in words is "one hundred million, seven hundred thirty-five thousand, one hundred twenty".