103629937 has 2 divisors, whose sum is σ = 103629938. Its totient is φ = 103629936.

The previous prime is 103629923. The next prime is 103629949. The reversal of 103629937 is 739926301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103550976 + 78961 = 10176^2 + 281^2 .

It is a cyclic number.

It is not a de Polignac number, because 103629937 - 2¹⁹ = 103105649 is a prime.

It is a super-3 number, since 3×103629937³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103629937.

It is not a weakly prime, because it can be changed into another prime (103629037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51814968 + 51814969.

It is an arithmetic number, because the mean of its divisors is an integer number (51814969).

Almost surely, 2^103629937 is an apocalyptic number.

It is an amenable number.

103629937 is a deficient number, since it is larger than the sum of its proper divisors (1).

103629937 is an equidigital number, since it uses as much as digits as its factorization.

103629937 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 61236, while the sum is 40.

The square root of 103629937 is about 10179.8790267861. The cubic root of 103629937 is about 469.7084913336.

The spelling of 103629937 in words is "one hundred three million, six hundred twenty-nine thousand, nine hundred thirty-seven".