106261993 has 2 divisors, whose sum is σ = 106261994. Its totient is φ = 106261992.

The previous prime is 106261973. The next prime is 106262033. The reversal of 106261993 is 399162601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101364624 + 4897369 = 10068^2 + 2213^2 .

It is a cyclic number.

It is not a de Polignac number, because 106261993 - 2¹³ = 106253801 is a prime.

It is a super-2 number, since 2×106261993² = 22583222312664098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106261973) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53130996 + 53130997.

It is an arithmetic number, because the mean of its divisors is an integer number (53130997).

Almost surely, 2^106261993 is an apocalyptic number.

It is an amenable number.

106261993 is a deficient number, since it is larger than the sum of its proper divisors (1).

106261993 is an equidigital number, since it uses as much as digits as its factorization.

106261993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17496, while the sum is 37.

The square root of 106261993 is about 10308.3457935791. The cubic root of 106261993 is about 473.6519384526.

The spelling of 106261993 in words is "one hundred six million, two hundred sixty-one thousand, nine hundred ninety-three".