106002632133 has 48 divisors (see below), whose sum is σ = 167780836080. Its totient is φ = 64191633408.

The previous prime is 106002632129. The next prime is 106002632137. The reversal of 106002632133 is 331236200601.

It is a happy number.

106002632133 is a `hidden beast` number, since 1 + 0 + 600 + 2 + 6 + 3 + 21 + 33 = 666.

It is an interprime number because it is at equal distance from previous prime (106002632129) and next prime (106002632137).

It can be written as a sum of positive squares in 8 ways, for example, as 1471336164 + 104531295969 = 38358^2 + 323313^2 .

It is not a de Polignac number, because 106002632133 - 2² = 106002632129 is a prime.

It is a super-2 number, since 2×106002632133² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106002632097 and 106002632106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106002632137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20394291 + ... + 20399487.

It is an arithmetic number, because the mean of its divisors is an integer number (3495434085).

Almost surely, 2^106002632133 is an apocalyptic number.

It is an amenable number.

106002632133 is a deficient number, since it is larger than the sum of its proper divisors (61778203947).

106002632133 is a wasteful number, since it uses less digits than its factorization.

106002632133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9846 (or 9843 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 106002632133 its reverse (331236200601), we get a palindrome (437238832734).

The spelling of 106002632133 in words is "one hundred six billion, two million, six hundred thirty-two thousand, one hundred thirty-three".