100005225 has 24 divisors (see below), whose sum is σ = 170679552. Its totient is φ = 51614400.

The previous prime is 100005197. The next prime is 100005239. The reversal of 100005225 is 522500001.

It is not a de Polignac number, because 100005225 - 2⁵ = 100005193 is a prime.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19182 + ... + 23831.

It is an arithmetic number, because the mean of its divisors is an integer number (7111648).

Almost surely, 2^100005225 is an apocalyptic number.

100005225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100005225 is a deficient number, since it is larger than the sum of its proper divisors (70674327).

100005225 is a wasteful number, since it uses less digits than its factorization.

100005225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43057 (or 43052 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 100005225 is about 10000.2612465875. The cubic root of 100005225 is about 464.1669673210.

Adding to 100005225 its reverse (522500001), we get a palindrome (622505226).

It can be divided in two parts, 10000 and 5225, that added together give a triangular number (15225 = T₁₇₄).

The spelling of 100005225 in words is "one hundred million, five thousand, two hundred twenty-five".