105155001160667 has 8 divisors (see below), whose sum is σ = 105220084974912. Its totient is φ = 105089919307200.

The previous prime is 105155001160637. The next prime is 105155001160777. The reversal of 105155001160667 is 766061100551501.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105155001160667 - 2¹⁸ = 105155000898523 is a prime.

It is a super-2 number, since 2×105155001160667² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105155001160637) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115238942 + ... + 116147852.

It is an arithmetic number, because the mean of its divisors is an integer number (13152510621864).

Almost surely, 2^{105155001160667} is an apocalyptic number.

105155001160667 is a deficient number, since it is larger than the sum of its proper divisors (65083814245).

105155001160667 is an equidigital number, since it uses as much as digits as its factorization.

105155001160667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980389.

The product of its (nonzero) digits is 189000, while the sum is 44.

The spelling of 105155001160667 in words is "one hundred five trillion, one hundred fifty-five billion, one million, one hundred sixty thousand, six hundred sixty-seven".