106116667056701 has 4 divisors (see below), whose sum is σ = 121276190921952. Its totient is φ = 90957143191452.

The previous prime is 106116667056671. The next prime is 106116667056727. The reversal of 106116667056701 is 107650766611601.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 106116667056701 - 2²⁶ = 106116599947837 is a prime.

It is a super-4 number, since 4×106116667056701⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106116667055701) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7579761932615 + ... + 7579761932628.

It is an arithmetic number, because the mean of its divisors is an integer number (30319047730488).

Almost surely, 2^{106116667056701} is an apocalyptic number.

It is an amenable number.

106116667056701 is a deficient number, since it is larger than the sum of its proper divisors (15159523865251).

106116667056701 is an equidigital number, since it uses as much as digits as its factorization.

106116667056701 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15159523865250.

The product of its (nonzero) digits is 1905120, while the sum is 53.

The spelling of 106116667056701 in words is "one hundred six trillion, one hundred sixteen billion, six hundred sixty-seven million, fifty-six thousand, seven hundred one".