100755840 has 128 divisors (see below), whose sum is σ = 325069920. Its totient is φ = 26542080.

The previous prime is 100755829. The next prime is 100755869. The reversal of 100755840 is 48557001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 100755798 and 100755807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185970 + ... + 186510.

Almost surely, 2^100755840 is an apocalyptic number.

100755840 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 100755840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162534960).

100755840 is an abundant number, since it is smaller than the sum of its proper divisors (224314080).

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

100755840 is an equidigital number, since it uses as much as digits as its factorization.

100755840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 100755840 is about 10037.7208568479. The cubic root of 100755840 is about 465.3253821589.

The spelling of 100755840 in words is "one hundred million, seven hundred fifty-five thousand, eight hundred forty".