1164101216105 has 32 divisors (see below), whose sum is σ = 1476394970400. Its totient is φ = 879898263552.

The previous prime is 1164101216101. The next prime is 1164101216141. The reversal of 1164101216105 is 5016121014611.

It can be written as a sum of positive squares in 16 ways, for example, as 256745903401 + 907355312704 = 506701^2 + 952552^2 .

It is a cyclic number.

It is not a de Polignac number, because 1164101216105 - 2² = 1164101216101 is a prime.

It is a super-2 number, since 2×1164101216105² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (1164101216101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 786809 + ... + 1716761.

It is an arithmetic number, because the mean of its divisors is an integer number (46137342825).

Almost surely, 2^{1164101216105} is an apocalyptic number.

It is an amenable number.

1164101216105 is a deficient number, since it is larger than the sum of its proper divisors (312293754295).

1164101216105 is an equidigital number, since it uses as much as digits as its factorization.

1164101216105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930173.

The product of its (nonzero) digits is 1440, while the sum is 29.

The spelling of 1164101216105 in words is "one trillion, one hundred sixty-four billion, one hundred one million, two hundred sixteen thousand, one hundred five".