106170272 has 24 divisors (see below), whose sum is σ = 225102276. Its totient is φ = 49001472.

The previous prime is 106170269. The next prime is 106170293. The reversal of 106170272 is 272071601.

It can be written as a sum of positive squares in 2 ways, for example, as 96904336 + 9265936 = 9844^2 + 3044^2 .

It is a super-2 number, since 2×106170272² = 22544253313107968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 127193 + ... + 128024.

Almost surely, 2^106170272 is an apocalyptic number.

It is an amenable number.

106170272 is an abundant number, since it is smaller than the sum of its proper divisors (118932004).

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

106170272 is a wasteful number, since it uses less digits than its factorization.

106170272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255240 (or 255232 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 26.

The square root of 106170272 is about 10303.8959622077. The cubic root of 106170272 is about 473.5156202393.

The spelling of 106170272 in words is "one hundred six million, one hundred seventy thousand, two hundred seventy-two".