106001615601 has 80 divisors (see below), whose sum is σ = 192134726784. Its totient is φ = 56854503936.

The previous prime is 106001615591. The next prime is 106001615609. The reversal of 106001615601 is 106516100601.

106001615601 is a `hidden beast` number, since 1 + 0 + 600 + 1 + 6 + 1 + 56 + 0 + 1 = 666.

It is not a de Polignac number, because 106001615601 - 2¹⁴ = 106001599217 is a prime.

It is a super-2 number, since 2×106001615601² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106001615609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3580606 + ... + 3610088.

Almost surely, 2^106001615601 is an apocalyptic number.

It is an amenable number.

106001615601 is a deficient number, since it is larger than the sum of its proper divisors (86133111183).

106001615601 is a wasteful number, since it uses less digits than its factorization.

106001615601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29892 (or 29883 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 106001615601 in words is "one hundred six billion, one million, six hundred fifteen thousand, six hundred one".