106837321617 has 48 divisors (see below), whose sum is σ = 172016732160. Its totient is φ = 63444011904.

The previous prime is 106837321607. The next prime is 106837321673. The reversal of 106837321617 is 716123738601.

106837321617 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 3 + 7 + 3 + 21 + 617 = 666.

It is not a de Polignac number, because 106837321617 - 2⁶ = 106837321553 is a prime.

It is a super-2 number, since 2×106837321617² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106837321607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6992128 + ... + 7007390.

It is an arithmetic number, because the mean of its divisors is an integer number (3583681920).

Almost surely, 2^106837321617 is an apocalyptic number.

It is an amenable number.

106837321617 is a deficient number, since it is larger than the sum of its proper divisors (65179410543).

106837321617 is a wasteful number, since it uses less digits than its factorization.

106837321617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17374 (or 17371 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 106837321617 in words is "one hundred six billion, eight hundred thirty-seven million, three hundred twenty-one thousand, six hundred seventeen".