102611630615640 has 64 divisors (see below), whose sum is σ = 307856143173600. Its totient is φ = 27361212490752.

The previous prime is 102611630615609. The next prime is 102611630615647. The reversal of 102611630615640 is 46516036116201.

102611630615640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 102611630615592 and 102611630615601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102611630615647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27769807 + ... + 31247166.

Almost surely, 2^{102611630615640} is an apocalyptic number.

102611630615640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102611630615640 is an abundant number, since it is smaller than the sum of its proper divisors (205244512557960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102611630615640 is a wasteful number, since it uses less digits than its factorization.

102611630615640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59031476 (or 59031472 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 102611630615640 in words is "one hundred two trillion, six hundred eleven billion, six hundred thirty million, six hundred fifteen thousand, six hundred forty".