106218801 has 24 divisors (see below), whose sum is σ = 165610536. Its totient is φ = 65214720.

The previous prime is 106218799. The next prime is 106218829. The reversal of 106218801 is 108812601.

It can be written as a sum of positive squares in 4 ways, for example, as 4309776 + 101909025 = 2076^2 + 10095^2 .

It is not a de Polignac number, because 106218801 - 2¹ = 106218799 is a prime.

It is a super-2 number, since 2×106218801² = 22564867371755202, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106218841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70981 + ... + 72461.

It is an arithmetic number, because the mean of its divisors is an integer number (6900439).

Almost surely, 2^106218801 is an apocalyptic number.

It is an amenable number.

106218801 is a deficient number, since it is larger than the sum of its proper divisors (59391735).

106218801 is a wasteful number, since it uses less digits than its factorization.

106218801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2113 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 106218801 is about 10306.2505791389. The cubic root of 106218801 is about 473.5877551186.

The spelling of 106218801 in words is "one hundred six million, two hundred eighteen thousand, eight hundred one".