106066551501633 has 32 divisors (see below), whose sum is σ = 146105972812800. Its totient is φ = 68372915788800.

The previous prime is 106066551501523. The next prime is 106066551501641. The reversal of 106066551501633 is 336105155660601.

It is not a de Polignac number, because 106066551501633 - 2²⁰ = 106066550453057 is a prime.

It is a super-2 number, since 2×106066551501633² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106066551501733) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 541254013 + ... + 541449941.

It is an arithmetic number, because the mean of its divisors is an integer number (4565811650400).

Almost surely, 2^{106066551501633} is an apocalyptic number.

It is an amenable number.

106066551501633 is a deficient number, since it is larger than the sum of its proper divisors (40039421311167).

106066551501633 is a wasteful number, since it uses less digits than its factorization.

106066551501633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200793.

The product of its (nonzero) digits is 1458000, while the sum is 48.

The spelling of 106066551501633 in words is "one hundred six trillion, sixty-six billion, five hundred fifty-one million, five hundred one thousand, six hundred thirty-three".