106160101119 has 64 divisors (see below), whose sum is σ = 162525242880. Its totient is φ = 68443395840.

The previous prime is 106160101057. The next prime is 106160101139. The reversal of 106160101119 is 911101061601.

106160101119 is a `hidden beast` number, since 10 + 616 + 0 + 10 + 11 + 19 = 666.

It is not a de Polignac number, because 106160101119 - 2¹² = 106160097023 is a prime.

It is a super-2 number, since 2×106160101119² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 106160101092 and 106160101101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106160101139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89435044 + ... + 89436230.

It is an arithmetic number, because the mean of its divisors is an integer number (2539456920).

Almost surely, 2^106160101119 is an apocalyptic number.

106160101119 is a deficient number, since it is larger than the sum of its proper divisors (56365141761).

106160101119 is a wasteful number, since it uses less digits than its factorization.

106160101119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 27.

The spelling of 106160101119 in words is "one hundred six billion, one hundred sixty million, one hundred one thousand, one hundred nineteen".