105655506001 has 16 divisors (see below), whose sum is σ = 109276787088. Its totient is φ = 102087475200.

The previous prime is 105655505987. The next prime is 105655506031. The reversal of 105655506001 is 100605556501.

It can be written as a sum of positive squares in 8 ways, for example, as 28493777601 + 77161728400 = 168801^2 + 277780^2 .

It is a cyclic number.

It is not a de Polignac number, because 105655506001 - 2⁷ = 105655505873 is a prime.

It is a super-2 number, since 2×105655506001² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105655506031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2410441 + ... + 2453881.

It is an arithmetic number, because the mean of its divisors is an integer number (6829799193).

Almost surely, 2^105655506001 is an apocalyptic number.

It is an amenable number.

105655506001 is a deficient number, since it is larger than the sum of its proper divisors (3621281087).

105655506001 is a wasteful number, since it uses less digits than its factorization.

105655506001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44052.

The product of its (nonzero) digits is 22500, while the sum is 34.

The spelling of 105655506001 in words is "one hundred five billion, six hundred fifty-five million, five hundred six thousand, one".