106405155261 has 12 divisors (see below), whose sum is σ = 153699164892. Its totient is φ = 70935464256.

The previous prime is 106405155203. The next prime is 106405155299. The reversal of 106405155261 is 162551504601.

106405155261 is a `hidden beast` number, since 1 + 0 + 6 + 40 + 5 + 1 + 552 + 61 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25402303161 + 81002852100 = 159381^2 + 284610^2 .

It is not a de Polignac number, because 106405155261 - 2²¹ = 106403058109 is a prime.

It is a super-2 number, since 2×106405155261² (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 (106405155361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 881995 + ... + 995351.

It is an arithmetic number, because the mean of its divisors is an integer number (12808263741).

Almost surely, 2^106405155261 is an apocalyptic number.

It is an amenable number.

106405155261 is a deficient number, since it is larger than the sum of its proper divisors (47294009631).

106405155261 is a wasteful number, since it uses less digits than its factorization.

106405155261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217660 (or 217657 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

Adding to 106405155261 its reverse (162551504601), we get a palindrome (268956659862).

The spelling of 106405155261 in words is "one hundred six billion, four hundred five million, one hundred fifty-five thousand, two hundred sixty-one".