106873856464 has 80 divisors (see below), whose sum is σ = 215517456000. Its totient is φ = 51312683520.

The previous prime is 106873856461. The next prime is 106873856501. The reversal of 106873856464 is 464658378601.

It is a super-2 number, since 2×106873856464² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106873856399 and 106873856408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106873856461) 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, 7298302 + ... + 7312930.

It is an arithmetic number, because the mean of its divisors is an integer number (2693968200).

Almost surely, 2^106873856464 is an apocalyptic number.

It is an amenable number.

106873856464 is an abundant number, since it is smaller than the sum of its proper divisors (108643599536).

106873856464 is a wasteful number, since it uses less digits than its factorization.

106873856464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14876 (or 14870 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 58.

The spelling of 106873856464 in words is "one hundred six billion, eight hundred seventy-three million, eight hundred fifty-six thousand, four hundred sixty-four".