1106105101051 has 16 divisors (see below), whose sum is σ = 1130122002528. Its totient is φ = 1082206944000.

The previous prime is 1106105101037. The next prime is 1106105101081. The reversal of 1106105101051 is 1501015016011.

It is a cyclic number.

It is not a de Polignac number, because 1106105101051 - 2¹¹ = 1106105099003 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1106105101081) 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, 61954276 + ... + 61972126.

It is an arithmetic number, because the mean of its divisors is an integer number (70632625158).

Almost surely, 2^{1106105101051} is an apocalyptic number.

1106105101051 is a deficient number, since it is larger than the sum of its proper divisors (24016901477).

1106105101051 is a wasteful number, since it uses less digits than its factorization.

1106105101051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21102.

The product of its (nonzero) digits is 150, while the sum is 22.

The spelling of 1106105101051 in words is "one trillion, one hundred six billion, one hundred five million, one hundred one thousand, fifty-one".