103764353134437 has 24 divisors (see below), whose sum is σ = 152370736851320. Its totient is φ = 68027989034880.

The previous prime is 103764353134363. The next prime is 103764353134511. The reversal of 103764353134437 is 734431353467301.

103764353134437 is a `hidden beast` number, since 1 + 0 + 3 + 7 + 6 + 43 + 531 + 34 + 4 + 37 = 666.

It is an interprime number because it is at equal distance from previous prime (103764353134363) and next prime (103764353134511).

It can be written as a sum of positive squares in 4 ways, for example, as 6281233925121 + 97483119209316 = 2506239^2 + 9873354^2 .

It is not a de Polignac number, because 103764353134437 - 2⁸ = 103764353134181 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103764353144437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17104198 + ... + 22362519.

Almost surely, 2^{103764353134437} is an apocalyptic number.

It is an amenable number.

103764353134437 is a deficient number, since it is larger than the sum of its proper divisors (48606383716883).

103764353134437 is a wasteful number, since it uses less digits than its factorization.

103764353134437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39471573 (or 39471570 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 54.

The spelling of 103764353134437 in words is "one hundred three trillion, seven hundred sixty-four billion, three hundred fifty-three million, one hundred thirty-four thousand, four hundred thirty-seven".