106400511 has 18 divisors (see below), whose sum is σ = 178782552. Its totient is φ = 60800040.

The previous prime is 106400491. The next prime is 106400549. The reversal of 106400511 is 115004601.

106400511 is a `hidden beast` number, since 10 + 640 + 0 + 5 + 11 = 666.

It is not a de Polignac number, because 106400511 - 2⁷ = 106400383 is a prime.

It is a super-2 number, since 2×106400511² = 22642137482122242, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106400311) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 120195 + ... + 121076.

It is an arithmetic number, because the mean of its divisors is an integer number (9932364).

Almost surely, 2^106400511 is an apocalyptic number.

106400511 is a deficient number, since it is larger than the sum of its proper divisors (72382041).

106400511 is a wasteful number, since it uses less digits than its factorization.

106400511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241291 (or 241281 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 106400511 is about 10315.0623362149. The cubic root of 106400511 is about 473.8576590168.

The spelling of 106400511 in words is "one hundred six million, four hundred thousand, five hundred eleven".