100725930 has 112 divisors (see below), whose sum is σ = 279292104. Its totient is φ = 26127360.

The previous prime is 100725887. The next prime is 100725931. The reversal of 100725930 is 39527001.

100725930 is a `hidden beast` number, since 1 + 0 + 0 + 72 + 593 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 42341049 + 58384881 = 6507^2 + 7641^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 100725894 and 100725903.

It is not an unprimeable number, because it can be changed into a prime (100725931) 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 55 ways as a sum of consecutive naturals, for example, 298722 + ... + 299058.

Almost surely, 2^100725930 is an apocalyptic number.

100725930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100725930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139646052).

100725930 is an abundant number, since it is smaller than the sum of its proper divisors (178566174).

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

100725930 is an equidigital number, since it uses as much as digits as its factorization.

100725930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 100725930 is about 10036.2308662167. The cubic root of 100725930 is about 465.2793326872.

The spelling of 100725930 in words is "one hundred million, seven hundred twenty-five thousand, nine hundred thirty".