100572225 has 96 divisors (see below), whose sum is σ = 193737600. Its totient is φ = 45619200.

The previous prime is 100572223. The next prime is 100572233. The reversal of 100572225 is 522275001.

It is not a de Polignac number, because 100572225 - 2¹ = 100572223 is a prime.

It is a super-2 number, since 2×100572225² = 20229544882901250, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100572195 and 100572204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100572223) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1129981 + ... + 1130069.

It is an arithmetic number, because the mean of its divisors is an integer number (2018100).

Almost surely, 2^100572225 is an apocalyptic number.

100572225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100572225 is a deficient number, since it is larger than the sum of its proper divisors (93165375).

100572225 is a wasteful number, since it uses less digits than its factorization.

100572225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 100572225 is about 10028.5704365079. The cubic root of 100572225 is about 465.0425443788.

The spelling of 100572225 in words is "one hundred million, five hundred seventy-two thousand, two hundred twenty-five".