100735540 has 48 divisors (see below), whose sum is σ = 226573200. Its totient is φ = 37486592.

The previous prime is 100735529. The next prime is 100735543. The reversal of 100735540 is 45537001.

100735540 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2090916 + 98644624 = 1446^2 + 9932^2 .

100735540 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100735543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28596 + ... + 31924.

It is an arithmetic number, because the mean of its divisors is an integer number (4720275).

Almost surely, 2^100735540 is an apocalyptic number.

100735540 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 100735540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113286600).

100735540 is an abundant number, since it is smaller than the sum of its proper divisors (125837660).

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

100735540 is a wasteful number, since it uses less digits than its factorization.

100735540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3444 (or 3442 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 100735540 is about 10036.7096201893. The cubic root of 100735540 is about 465.2941292485.

The spelling of 100735540 in words is "one hundred million, seven hundred thirty-five thousand, five hundred forty".