100725000 has 192 divisors, whose sum is σ = 337478400. Its totient is φ = 24960000.

The previous prime is 100724999. The next prime is 100725007. The reversal of 100725000 is 527001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (100725007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1274961 + ... + 1275039.

It is an arithmetic number, because the mean of its divisors is an integer number (1757700).

Almost surely, 2^100725000 is an apocalyptic number.

100725000 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 100725000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168739200).

100725000 is an abundant number, since it is smaller than the sum of its proper divisors (236753400).

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

100725000 is an equidigital number, since it uses as much as digits as its factorization.

100725000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 100725000 is about 10036.1845339751. The cubic root of 100725000 is about 465.2779007120.

The spelling of 100725000 in words is "one hundred million, seven hundred twenty-five thousand".