106872631 has 2 divisors, whose sum is σ = 106872632. Its totient is φ = 106872630.

The previous prime is 106872589. The next prime is 106872641. The reversal of 106872631 is 136278601.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 106872631 - 2¹¹ = 106870583 is a prime.

It is a super-2 number, since 2×106872631² = 22843518513724322, which contains 22 as substring.

It is equal to p_6133948 and since 106872631 and 6133948 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106872641) 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 as a sum of consecutive naturals, namely, 53436315 + 53436316.

It is an arithmetic number, because the mean of its divisors is an integer number (53436316).

Almost surely, 2^106872631 is an apocalyptic number.

106872631 is a deficient number, since it is larger than the sum of its proper divisors (1).

106872631 is an equidigital number, since it uses as much as digits as its factorization.

106872631 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 106872631 is about 10337.9219865503. The cubic root of 106872631 is about 474.5574914896.

The spelling of 106872631 in words is "one hundred six million, eight hundred seventy-two thousand, six hundred thirty-one".