106052855805 has 24 divisors (see below), whose sum is σ = 197965331928. Its totient is φ = 52210636416.

The previous prime is 106052855803. The next prime is 106052855819. The reversal of 106052855805 is 508558250601.

106052855805 is a `hidden beast` number, since 1 + 0 + 60 + 5 + 2 + 8 + 5 + 580 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21621349764 + 84431506041 = 147042^2 + 290571^2 .

It is not a de Polignac number, because 106052855805 - 2¹ = 106052855803 is a prime.

It is a super-2 number, since 2×106052855805² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106052855801) 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, 90642882 + ... + 90644051.

It is an arithmetic number, because the mean of its divisors is an integer number (8248555497).

Almost surely, 2^106052855805 is an apocalyptic number.

106052855805 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106052855805 is a deficient number, since it is larger than the sum of its proper divisors (91912476123).

106052855805 is a wasteful number, since it uses less digits than its factorization.

106052855805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181286957 (or 181286954 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 45.

The spelling of 106052855805 in words is "one hundred six billion, fifty-two million, eight hundred fifty-five thousand, eight hundred five".