100262825 has 12 divisors (see below), whose sum is σ = 133889868. Its totient is φ = 74040000.

The previous prime is 100262809. The next prime is 100262873. The reversal of 100262825 is 528262001.

It can be written as a sum of positive squares in 6 ways, for example, as 502681 + 99760144 = 709^2 + 9988^2 .

It is not a de Polignac number, because 100262825 - 2⁴ = 100262809 is a prime.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100262794 and 100262803.

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 11 ways as a sum of consecutive naturals, for example, 153926 + ... + 154575.

It is an arithmetic number, because the mean of its divisors is an integer number (11157489).

Almost surely, 2^100262825 is an apocalyptic number.

It is an amenable number.

100262825 is a deficient number, since it is larger than the sum of its proper divisors (33627043).

100262825 is a wasteful number, since it uses less digits than its factorization.

100262825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308524 (or 308519 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 100262825 is about 10013.1326267058. The cubic root of 100262825 is about 464.5651694901.

The spelling of 100262825 in words is "one hundred million, two hundred sixty-two thousand, eight hundred twenty-five".