101970225 has 72 divisors (see below), whose sum is σ = 217977120. Its totient is φ = 46599840.

The previous prime is 101970217. The next prime is 101970287. The reversal of 101970225 is 522079101.

It is not a de Polignac number, because 101970225 - 2³ = 101970217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 71 ways as a sum of consecutive naturals, for example, 31534 + ... + 34616.

It is an arithmetic number, because the mean of its divisors is an integer number (3027460).

Almost surely, 2^101970225 is an apocalyptic number.

101970225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101970225 is an abundant number, since it is smaller than the sum of its proper divisors (116006895).

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

101970225 is a wasteful number, since it uses less digits than its factorization.

101970225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3116 (or 3098 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 101970225 is about 10098.0307486163. The cubic root of 101970225 is about 467.1874048202.

The spelling of 101970225 in words is "one hundred one million, nine hundred seventy thousand, two hundred twenty-five".