106111116051 has 8 divisors (see below), whose sum is σ = 142099312080. Its totient is φ = 70431832032.

The previous prime is 106111115987. The next prime is 106111116061. The reversal of 106111116051 is 150611111601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 106111116051 - 2⁶ = 106111115987 is a prime.

It is a super-2 number, since 2×106111116051² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106111116061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77227200 + ... + 77228573.

It is an arithmetic number, because the mean of its divisors is an integer number (17762414010).

Almost surely, 2^106111116051 is an apocalyptic number.

106111116051 is the 206021-st centered pentagonal number.

106111116051 is a deficient number, since it is larger than the sum of its proper divisors (35988196029).

106111116051 is a wasteful number, since it uses less digits than its factorization.

106111116051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154456005.

The product of its (nonzero) digits is 180, while the sum is 24.

Adding to 106111116051 its reverse (150611111601), we get a palindrome (256722227652).

The spelling of 106111116051 in words is "one hundred six billion, one hundred eleven million, one hundred sixteen thousand, fifty-one".