1005106101111 has 64 divisors (see below), whose sum is σ = 1732136140800. Its totient is φ = 564113916000.

The previous prime is 1005106101061. The next prime is 1005106101149. The reversal of 1005106101111 is 1111016015001.

It is a happy number.

1005106101111 is a `hidden beast` number, since 1 + 0 + 0 + 51 + 0 + 610 + 1 + 1 + 1 + 1 = 666.

It is not a de Polignac number, because 1005106101111 - 2¹³ = 1005106092919 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005106101161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12795646 + ... + 12873956.

It is an arithmetic number, because the mean of its divisors is an integer number (27064627200).

Almost surely, 2^{1005106101111} is an apocalyptic number.

1005106101111 is a deficient number, since it is larger than the sum of its proper divisors (727030039689).

1005106101111 is a wasteful number, since it uses less digits than its factorization.

1005106101111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79537 (or 79531 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 18.

The spelling of 1005106101111 in words is "one trillion, five billion, one hundred six million, one hundred one thousand, one hundred eleven".