106557201 has 36 divisors (see below), whose sum is σ = 162376500. Its totient is φ = 69914016.

The previous prime is 106557169. The next prime is 106557203. The reversal of 106557201 is 102755601.

106557201 is a `hidden beast` number, since 1 + 0 + 655 + 7 + 2 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 40947201 + 65610000 = 6399^2 + 8100^2 .

It is not a de Polignac number, because 106557201 - 2⁵ = 106557169 is a prime.

It is a super-2 number, since 2×106557201² = 22708874169908802, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106557203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 715075 + ... + 715223.

Almost surely, 2^106557201 is an apocalyptic number.

It is an amenable number.

106557201 is a deficient number, since it is larger than the sum of its proper divisors (55819299).

106557201 is an frugal number, since it uses more digits than its factorization.

106557201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 106557201 is about 10322.6547457522. The cubic root of 106557201 is about 474.0901526968.

The spelling of 106557201 in words is "one hundred six million, five hundred fifty-seven thousand, two hundred one".