106416801 has 8 divisors (see below), whose sum is σ = 157654560. Its totient is φ = 70944516.

The previous prime is 106416799. The next prime is 106416803. The reversal of 106416801 is 108614601.

106416801 is a `hidden beast` number, since 10 + 641 + 6 + 8 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (106416799) and next prime (106416803).

It is not a de Polignac number, because 106416801 - 2¹ = 106416799 is a prime.

It is a super-3 number, since 3×106416801³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 3941363 = 106416801 / (1 + 0 + 6 + 4 + 1 + 6 + 8 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (106416803) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1970655 + ... + 1970708.

It is an arithmetic number, because the mean of its divisors is an integer number (19706820).

Almost surely, 2^106416801 is an apocalyptic number.

It is an amenable number.

106416801 is a deficient number, since it is larger than the sum of its proper divisors (51237759).

106416801 is an equidigital number, since it uses as much as digits as its factorization.

106416801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3941372 (or 3941366 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 106416801 is about 10315.8519279796. The cubic root of 106416801 is about 473.8818404401.

The spelling of 106416801 in words is "one hundred six million, four hundred sixteen thousand, eight hundred one".