105378737 has 2 divisors, whose sum is σ = 105378738. Its totient is φ = 105378736.

The previous prime is 105378719. The next prime is 105378751. The reversal of 105378737 is 737873501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84621601 + 20757136 = 9199^2 + 4556^2 .

It is a cyclic number.

It is not a de Polignac number, because 105378737 - 2⁶ = 105378673 is a prime.

It is a super-2 number, since 2×105378737² = 22209356423430338, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105378694 and 105378703.

It is not a weakly prime, because it can be changed into another prime (105378137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52689368 + 52689369.

It is an arithmetic number, because the mean of its divisors is an integer number (52689369).

Almost surely, 2^105378737 is an apocalyptic number.

It is an amenable number.

105378737 is a deficient number, since it is larger than the sum of its proper divisors (1).

105378737 is an equidigital number, since it uses as much as digits as its factorization.

105378737 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 123480, while the sum is 41.

The square root of 105378737 is about 10265.4146043889. The cubic root of 105378737 is about 472.3359444637.

The spelling of 105378737 in words is "one hundred five million, three hundred seventy-eight thousand, seven hundred thirty-seven".