106003633 has 2 divisors, whose sum is σ = 106003634. Its totient is φ = 106003632.

The previous prime is 106003607. The next prime is 106003669. The reversal of 106003633 is 336300601.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57881664 + 48121969 = 7608^2 + 6937^2 .

It is a cyclic number.

It is not a de Polignac number, because 106003633 - 2¹³ = 105995441 is a prime.

It is a super-2 number, since 2×106003633² = 22473540418397378, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106003673) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53001816 + 53001817.

It is an arithmetic number, because the mean of its divisors is an integer number (53001817).

Almost surely, 2^106003633 is an apocalyptic number.

It is an amenable number.

106003633 is a deficient number, since it is larger than the sum of its proper divisors (1).

106003633 is an equidigital number, since it uses as much as digits as its factorization.

106003633 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 22.

The square root of 106003633 is about 10295.8065735522. The cubic root of 106003633 is about 473.2677558537.

The spelling of 106003633 in words is "one hundred six million, three thousand, six hundred thirty-three".