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106033633 is a prime number
BaseRepresentation
bin1100101000111…
…11000111100001
321101112001210121
412110133013201
5204121034013
614304400241
72425161646
oct624370741
9241461717
10106033633
1154942702
122b616081
1318c76bc4
1410121dcd
15949758d
hex651f1e1

106033633 has 2 divisors, whose sum is σ = 106033634. Its totient is φ = 106033632.

The previous prime is 106033583. The next prime is 106033637. The reversal of 106033633 is 336330601.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77228944 + 28804689 = 8788^2 + 5367^2 .

It is a cyclic number.

It is not a de Polignac number, because 106033633 - 29 = 106033121 is a prime.

It is a super-2 number, since 2×1060336332 = 22486262654357378, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106033598 and 106033607.

It is not a weakly prime, because it can be changed into another prime (106033637) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53016816 + 53016817.

It is an arithmetic number, because the mean of its divisors is an integer number (53016817).

Almost surely, 2106033633 is an apocalyptic number.

It is an amenable number.

106033633 is a deficient number, since it is larger than the sum of its proper divisors (1).

106033633 is an equidigital number, since it uses as much as digits as its factorization.

106033633 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2916, while the sum is 25.

The square root of 106033633 is about 10297.2633743146. The cubic root of 106033633 is about 473.3123980139.

The spelling of 106033633 in words is "one hundred six million, thirty-three thousand, six hundred thirty-three".