106105515111 has 40 divisors (see below), whose sum is σ = 162480716640. Its totient is φ = 68983757568.

The previous prime is 106105515091. The next prime is 106105515157. The reversal of 106105515111 is 111515501601.

106105515111 is a `hidden beast` number, since 1 + 0 + 61 + 0 + 551 + 51 + 1 + 1 = 666.

It is not a de Polignac number, because 106105515111 - 2¹⁰ = 106105514087 is a prime.

It is a super-2 number, since 2×106105515111² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (106105515311) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 425446 + ... + 627068.

It is an arithmetic number, because the mean of its divisors is an integer number (4062017916).

Almost surely, 2^106105515111 is an apocalyptic number.

106105515111 is a deficient number, since it is larger than the sum of its proper divisors (56375201529).

106105515111 is an equidigital number, since it uses as much as digits as its factorization.

106105515111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201797 (or 201788 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 27.

The spelling of 106105515111 in words is "one hundred six billion, one hundred five million, five hundred fifteen thousand, one hundred eleven".