106516401 has 16 divisors (see below), whose sum is σ = 147547008. Its totient is φ = 68297600.

The previous prime is 106516393. The next prime is 106516453. The reversal of 106516401 is 104615601.

It is a cyclic number.

It is not a de Polignac number, because 106516401 - 2³ = 106516393 is a prime.

It is a super-2 number, since 2×106516401² = 22691487363985602, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106516471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2635 + ... + 14831.

It is an arithmetic number, because the mean of its divisors is an integer number (9221688).

Almost surely, 2^106516401 is an apocalyptic number.

It is an amenable number.

106516401 is a deficient number, since it is larger than the sum of its proper divisors (41030607).

106516401 is a wasteful number, since it uses less digits than its factorization.

106516401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12312.

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 106516401 is about 10320.6783207307. The cubic root of 106516401 is about 474.0296363816.

The spelling of 106516401 in words is "one hundred six million, five hundred sixteen thousand, four hundred one".