105997880031467 has 16 divisors (see below), whose sum is σ = 111016989834240. Its totient is φ = 101012995036800.

The previous prime is 105997880031427. The next prime is 105997880031493. The reversal of 105997880031467 is 764130088799501.

It is a cyclic number.

It is not a de Polignac number, because 105997880031467 - 2¹⁰ = 105997880030443 is a prime.

It is a super-2 number, since 2×105997880031467² (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 = 105997880031397 and 105997880031406.

It is not an unprimeable number, because it can be changed into a prime (105997880031427) 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, 345410384 + ... + 345717122.

It is an arithmetic number, because the mean of its divisors is an integer number (6938561864640).

Almost surely, 2^{105997880031467} is an apocalyptic number.

105997880031467 is a deficient number, since it is larger than the sum of its proper divisors (5019109802773).

105997880031467 is a wasteful number, since it uses less digits than its factorization.

105997880031467 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362474.

The product of its (nonzero) digits is 91445760, while the sum is 68.

The spelling of 105997880031467 in words is "one hundred five trillion, nine hundred ninety-seven billion, eight hundred eighty million, thirty-one thousand, four hundred sixty-seven".