106514001 has 24 divisors (see below), whose sum is σ = 173453280. Its totient is φ = 64551960.

The previous prime is 106513969. The next prime is 106514003. The reversal of 106514001 is 100415601.

106514001 is a `hidden beast` number, since 10 + 651 + 4 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 106514001 - 2⁵ = 106513969 is a prime.

It is a super-2 number, since 2×106514001² = 22690464818056002, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106514003) 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, 13035 + ... + 19568.

It is an arithmetic number, because the mean of its divisors is an integer number (7227220).

Almost surely, 2^106514001 is an apocalyptic number.

106514001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106514001 is a deficient number, since it is larger than the sum of its proper divisors (66939279).

106514001 is a wasteful number, since it uses less digits than its factorization.

106514001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32634 (or 32617 counting only the distinct ones).

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

The square root of 106514001 is about 10320.5620486483. The cubic root of 106514001 is about 474.0260761171.

Adding to 106514001 its reverse (100415601), we get a palindrome (206929602).

The spelling of 106514001 in words is "one hundred six million, five hundred fourteen thousand, one".