106676547373461 has 128 divisors (see below), whose sum is σ = 166764680642560. Its totient is φ = 60131014225920.

The previous prime is 106676547373427. The next prime is 106676547373483. The reversal of 106676547373461 is 164373745676601.

It is a happy number.

It is not a de Polignac number, because 106676547373461 - 2³⁰ = 106675473631637 is a prime.

It is a super-2 number, since 2×106676547373461² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 106676547373392 and 106676547373401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106676547371461) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46644750660 + ... + 46644752946.

It is an arithmetic number, because the mean of its divisors is an integer number (1302849067520).

Almost surely, 2^{106676547373461} is an apocalyptic number.

It is an amenable number.

106676547373461 is a deficient number, since it is larger than the sum of its proper divisors (60088133269099).

106676547373461 is a wasteful number, since it uses less digits than its factorization.

106676547373461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4528 (or 4466 counting only the distinct ones).

The product of its (nonzero) digits is 320060160, while the sum is 66.

The spelling of 106676547373461 in words is "one hundred six trillion, six hundred seventy-six billion, five hundred forty-seven million, three hundred seventy-three thousand, four hundred sixty-one".