10106357 has 2 divisors, whose sum is σ = 10106358. Its totient is φ = 10106356.

The previous prime is 10106323. The next prime is 10106359. The reversal of 10106357 is 75360101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8444836 + 1661521 = 2906^2 + 1289^2 .

It is a cyclic number.

It is not a de Polignac number, because 10106357 - 2⁸ = 10106101 is a prime.

It is a super-2 number, since 2×10106357² = 204276903622898, which contains 22 as substring.

Together with 10106359, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10106359) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5053178 + 5053179.

It is an arithmetic number, because the mean of its divisors is an integer number (5053179).

Almost surely, 2^10106357 is an apocalyptic number.

It is an amenable number.

10106357 is a deficient number, since it is larger than the sum of its proper divisors (1).

10106357 is an equidigital number, since it uses as much as digits as its factorization.

10106357 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 10106357 is about 3179.0497007754. The cubic root of 10106357 is about 216.2045744184.

Adding to 10106357 its reverse (75360101), we get a palindrome (85466458).

The spelling of 10106357 in words is "ten million, one hundred six thousand, three hundred fifty-seven".