100073025 has 36 divisors (see below), whose sum is σ = 193035388. Its totient is φ = 49265280.

The previous prime is 100072979. The next prime is 100073041. The reversal of 100073025 is 520370001.

It can be written as a sum of positive squares in 6 ways, for example, as 1527696 + 98545329 = 1236^2 + 9927^2 .

It is not a de Polignac number, because 100073025 - 2⁶ = 100072961 is a prime.

It is a super-2 number, since 2×100073025² = 20029220665301250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100072989 and 100073007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14182 + ... + 20031.

Almost surely, 2^100073025 is an apocalyptic number.

100073025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100073025 is a deficient number, since it is larger than the sum of its proper divisors (92962363).

100073025 is a wasteful number, since it uses less digits than its factorization.

100073025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34242 (or 34234 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 100073025 is about 10003.6505836619. The cubic root of 100073025 is about 464.2718398784.

The spelling of 100073025 in words is "one hundred million, seventy-three thousand, twenty-five".