103508463753 has 12 divisors (see below), whose sum is σ = 151560339060. Its totient is φ = 68060359296.

The previous prime is 103508463743. The next prime is 103508463763. The reversal of 103508463753 is 357364805301.

103508463753 is a `hidden beast` number, since 1 + 0 + 3 + 5 + 0 + 8 + 4 + 637 + 5 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (103508463743) and next prime (103508463763).

It can be written as a sum of positive squares in 2 ways, for example, as 27978583824 + 75529879929 = 167268^2 + 274827^2 .

It is not a de Polignac number, because 103508463753 - 2⁸ = 103508463497 is a prime.

It is a super-2 number, since 2×103508463753² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103508463699 and 103508463708.

It is not an unprimeable number, because it can be changed into a prime (103508463713) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78772908 + ... + 78774221.

It is an arithmetic number, because the mean of its divisors is an integer number (12630028255).

Almost surely, 2^103508463753 is an apocalyptic number.

It is an amenable number.

103508463753 is a deficient number, since it is larger than the sum of its proper divisors (48051875307).

103508463753 is a wasteful number, since it uses less digits than its factorization.

103508463753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157547208 (or 157547205 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 103508463753 in words is "one hundred three billion, five hundred eight million, four hundred sixty-three thousand, seven hundred fifty-three".