101968949 has 2 divisors, whose sum is σ = 101968950. Its totient is φ = 101968948.

The previous prime is 101968943. The next prime is 101968957. The reversal of 101968949 is 949869101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78446449 + 23522500 = 8857^2 + 4850^2 .

It is a cyclic number.

It is not a de Polignac number, because 101968949 - 2⁸ = 101968693 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101968943) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50984474 + 50984475.

It is an arithmetic number, because the mean of its divisors is an integer number (50984475).

Almost surely, 2^101968949 is an apocalyptic number.

It is an amenable number.

101968949 is a deficient number, since it is larger than the sum of its proper divisors (1).

101968949 is an equidigital number, since it uses as much as digits as its factorization.

101968949 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 139968, while the sum is 47.

The square root of 101968949 is about 10097.9675677831. The cubic root of 101968949 is about 467.1854561023.

The spelling of 101968949 in words is "one hundred one million, nine hundred sixty-eight thousand, nine hundred forty-nine".