2105167661604 has 192 divisors, whose sum is σ = 6263585556480. Its totient is φ = 598967187840.

The previous prime is 2105167661593. The next prime is 2105167661621. The reversal of 2105167661604 is 4061667615012.

2105167661604 is a `hidden beast` number, since 2 + 1 + 0 + 516 + 76 + 6 + 1 + 60 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2105167661604.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 608252434 + ... + 608255894.

It is an arithmetic number, because the mean of its divisors is an integer number (32622841440).

Almost surely, 2^{2105167661604} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2105167661604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3131792778240).

2105167661604 is an abundant number, since it is smaller than the sum of its proper divisors (4158417894876).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2105167661604 is a wasteful number, since it uses less digits than its factorization.

2105167661604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6607 (or 6599 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 2105167661604 in words is "two trillion, one hundred five billion, one hundred sixty-seven million, six hundred sixty-one thousand, six hundred four".