101106105051 has 24 divisors (see below), whose sum is σ = 156833014800. Its totient is φ = 57769250112.

The previous prime is 101106105049. The next prime is 101106105073. The reversal of 101106105051 is 150501601101.

It is a happy number.

It is not a de Polignac number, because 101106105051 - 2¹ = 101106105049 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (101106105011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1812525 + ... + 1867473.

It is an arithmetic number, because the mean of its divisors is an integer number (6534708950).

Almost surely, 2^101106105051 is an apocalyptic number.

101106105051 is a deficient number, since it is larger than the sum of its proper divisors (55726909749).

101106105051 is a wasteful number, since it uses less digits than its factorization.

101106105051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67483 (or 67476 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 21.

Adding to 101106105051 its reverse (150501601101), we get a palindrome (251607706152).

The spelling of 101106105051 in words is "one hundred one billion, one hundred six million, one hundred five thousand, fifty-one".