106105151565 has 24 divisors (see below), whose sum is σ = 210189253248. Its totient is φ = 48505212000.

The previous prime is 106105151561. The next prime is 106105151569. The reversal of 106105151565 is 565151501601.

It is a happy number.

106105151565 is a `hidden beast` number, since 10 + 61 + 0 + 515 + 15 + 65 = 666.

It is an interprime number because it is at equal distance from previous prime (106105151561) and next prime (106105151569).

It is not a de Polignac number, because 106105151565 - 2² = 106105151561 is a prime.

It is a super-2 number, since 2×106105151565² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106105151561) 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, 168420561 + ... + 168421190.

It is an arithmetic number, because the mean of its divisors is an integer number (8757885552).

Almost surely, 2^106105151565 is an apocalyptic number.

106105151565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106105151565 is a deficient number, since it is larger than the sum of its proper divisors (104084101683).

106105151565 is a wasteful number, since it uses less digits than its factorization.

106105151565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336841769 (or 336841766 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 36.

The spelling of 106105151565 in words is "one hundred six billion, one hundred five million, one hundred fifty-one thousand, five hundred sixty-five".