106266035733 has 32 divisors (see below), whose sum is σ = 166786058880. Its totient is φ = 59332611840.

The previous prime is 106266035713. The next prime is 106266035741. The reversal of 106266035733 is 337530662601.

It is not a de Polignac number, because 106266035733 - 2¹⁰ = 106266034709 is a prime.

It is a super-2 number, since 2×106266035733² (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 (106266035713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24966 + ... + 461687.

It is an arithmetic number, because the mean of its divisors is an integer number (5212064340).

Almost surely, 2^106266035733 is an apocalyptic number.

106266035733 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

106266035733 is a deficient number, since it is larger than the sum of its proper divisors (60520023147).

106266035733 is a wasteful number, since it uses less digits than its factorization.

106266035733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487189.

The product of its (nonzero) digits is 408240, while the sum is 42.

The spelling of 106266035733 in words is "one hundred six billion, two hundred sixty-six million, thirty-five thousand, seven hundred thirty-three".