100025000 has 48 divisors (see below), whose sum is σ = 234477180. Its totient is φ = 40000000.

The previous prime is 100024993. The next prime is 100025017. The reversal of 100025000 is 520001.

It can be written as a sum of positive squares in 6 ways, for example, as 36312676 + 63712324 = 6026^2 + 7982^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23000 + ... + 27000.

Almost surely, 2^100025000 is an apocalyptic number.

100025000 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 100025000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117238590).

100025000 is an abundant number, since it is smaller than the sum of its proper divisors (134452180).

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

100025000 is an frugal number, since it uses more digits than its factorization.

100025000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4032 (or 4008 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 8.

The square root of 100025000 is about 10001.2499218848. The cubic root of 100025000 is about 464.1975600453.

Adding to 100025000 its reverse (520001), we get a palindrome (100545001).

It can be divided in two parts, 1000 and 25000, that multiplied together give a square (25000000 = 5000²).

The spelling of 100025000 in words is "one hundred million, twenty-five thousand".