100725100 has 72 divisors (see below), whose sum is σ = 256615520. Its totient is φ = 33592320.

The previous prime is 100725083. The next prime is 100725101. The reversal of 100725100 is 1527001.

It is a super-3 number, since 3×100725100³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100725101) 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 23 ways as a sum of consecutive naturals, for example, 23956 + ... + 27844.

Almost surely, 2^100725100 is an apocalyptic number.

100725100 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 100725100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128307760).

100725100 is an abundant number, since it is smaller than the sum of its proper divisors (155890420).

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

100725100 is a wasteful number, since it uses less digits than its factorization.

100725100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3947 (or 3940 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 100725100 is about 10036.1895159468. The cubic root of 100725100 is about 465.2780546883.

The spelling of 100725100 in words is "one hundred million, seven hundred twenty-five thousand, one hundred".