100725940 has 48 divisors (see below), whose sum is σ = 243919872. Its totient is φ = 34223616.

The previous prime is 100725931. The next prime is 100725941. The reversal of 100725940 is 49527001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 100725899 and 100725908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100725941) 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 15 ways as a sum of consecutive naturals, for example, 12637 + ... + 19003.

It is an arithmetic number, because the mean of its divisors is an integer number (5081664).

Almost surely, 2^100725940 is an apocalyptic number.

100725940 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 100725940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121959936).

100725940 is an abundant number, since it is smaller than the sum of its proper divisors (143193932).

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

100725940 is a wasteful number, since it uses less digits than its factorization.

100725940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6496 (or 6494 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 100725940 is about 10036.2313644116. The cubic root of 100725940 is about 465.2793480848.

The spelling of 100725940 in words is "one hundred million, seven hundred twenty-five thousand, nine hundred forty".