105937357 has 2 divisors, whose sum is σ = 105937358. Its totient is φ = 105937356.

The previous prime is 105937313. The next prime is 105937367. The reversal of 105937357 is 753739501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99480676 + 6456681 = 9974^2 + 2541^2 .

It is a cyclic number.

It is not a de Polignac number, because 105937357 - 2⁷ = 105937229 is a prime.

It is a super-2 number, since 2×105937357² = 22445447216290898, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105937367) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52968678 + 52968679.

It is an arithmetic number, because the mean of its divisors is an integer number (52968679).

Almost surely, 2^105937357 is an apocalyptic number.

It is an amenable number.

105937357 is a deficient number, since it is larger than the sum of its proper divisors (1).

105937357 is an equidigital number, since it uses as much as digits as its factorization.

105937357 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 99225, while the sum is 40.

The square root of 105937357 is about 10292.5874783749. The cubic root of 105937357 is about 473.1691025272.

It can be divided in two parts, 1059 and 37357, that added together give a 4-th power (38416 = 14⁴).

The spelling of 105937357 in words is "one hundred five million, nine hundred thirty-seven thousand, three hundred fifty-seven".