105667022152051 has 16 divisors (see below), whose sum is σ = 116265615552000. Its totient is φ = 95587232260608.

The previous prime is 105667022152039. The next prime is 105667022152063. The reversal of 105667022152051 is 150251220766501.

It is an interprime number because it is at equal distance from previous prime (105667022152039) and next prime (105667022152063).

It is a cyclic number.

It is not a de Polignac number, because 105667022152051 - 2³⁵ = 105632662413683 is a prime.

It is a super-2 number, since 2×105667022152051² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105667022151989 and 105667022152007.

It is not an unprimeable number, because it can be changed into a prime (105667022153051) 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, 209280751 + ... + 209785048.

It is an arithmetic number, because the mean of its divisors is an integer number (7266600972000).

Almost surely, 2^{105667022152051} is an apocalyptic number.

105667022152051 is a deficient number, since it is larger than the sum of its proper divisors (10598593399949).

105667022152051 is a wasteful number, since it uses less digits than its factorization.

105667022152051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419066418.

The product of its (nonzero) digits is 252000, while the sum is 43.

The spelling of 105667022152051 in words is "one hundred five trillion, six hundred sixty-seven billion, twenty-two million, one hundred fifty-two thousand, fifty-one".