106234220565 has 144 divisors (see below), whose sum is σ = 218491378560. Its totient is φ = 47567520000.

The previous prime is 106234220489. The next prime is 106234220641. The reversal of 106234220565 is 565022432601.

106234220565 is a `hidden beast` number, since 1 + 0 + 62 + 34 + 2 + 2 + 0 + 565 = 666.

It is an interprime number because it is at equal distance from previous prime (106234220489) and next prime (106234220641).

It is a de Polignac number, because none of the positive numbers 2^k-106234220565 is a prime.

It is a super-2 number, since 2×106234220565² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3617190 + ... + 3646440.

It is an arithmetic number, because the mean of its divisors is an integer number (1517301240).

Almost surely, 2^106234220565 is an apocalyptic number.

106234220565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106234220565 is an abundant number, since it is smaller than the sum of its proper divisors (112257157995).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106234220565 is a wasteful number, since it uses less digits than its factorization.

106234220565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29336 (or 29322 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 106234220565 in words is "one hundred six billion, two hundred thirty-four million, two hundred twenty thousand, five hundred sixty-five".