102351008378763 has 48 divisors (see below), whose sum is σ = 153166052555776. Its totient is φ = 65792097668160.

The previous prime is 102351008378699. The next prime is 102351008378807. The reversal of 102351008378763 is 367873800153201.

It is a happy number.

102351008378763 is a `hidden beast` number, since 1 + 0 + 23 + 510 + 0 + 8 + 37 + 8 + 76 + 3 = 666.

It is not a de Polignac number, because 102351008378763 - 2⁶ = 102351008378699 is a prime.

It is a super-2 number, since 2×102351008378763² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102351008371763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 741889956 + ... + 742027902.

Almost surely, 2^{102351008378763} is an apocalyptic number.

102351008378763 is a deficient number, since it is larger than the sum of its proper divisors (50815044177013).

102351008378763 is a wasteful number, since it uses less digits than its factorization.

102351008378763 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147664 (or 147661 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 102351008378763 in words is "one hundred two trillion, three hundred fifty-one billion, eight million, three hundred seventy-eight thousand, seven hundred sixty-three".