103008953 has 2 divisors, whose sum is σ = 103008954. Its totient is φ = 103008952.

The previous prime is 103008923. The next prime is 103008959. The reversal of 103008953 is 359800301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92006464 + 11002489 = 9592^2 + 3317^2 .

It is a cyclic number.

It is not a de Polignac number, because 103008953 - 2⁶ = 103008889 is a prime.

It is a super-2 number, since 2×103008953² = 21221688796312418, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (103008959) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51504476 + 51504477.

It is an arithmetic number, because the mean of its divisors is an integer number (51504477).

Almost surely, 2^103008953 is an apocalyptic number.

It is an amenable number.

103008953 is a deficient number, since it is larger than the sum of its proper divisors (1).

103008953 is an equidigital number, since it uses as much as digits as its factorization.

103008953 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 103008953 is about 10149.3326381590. The cubic root of 103008953 is about 468.7683961254.

The spelling of 103008953 in words is "one hundred three million, eight thousand, nine hundred fifty-three".