102735390997404 has 144 divisors (see below), whose sum is σ = 293551299385344. Its totient is φ = 30013125782400.

The previous prime is 102735390997387. The next prime is 102735390997493. The reversal of 102735390997404 is 404799093537201.

102735390997404 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 3 + 53 + 90 + 9 + 97 + 404 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12681679 + ... + 19138854.

It is an arithmetic number, because the mean of its divisors is an integer number (2038550690176).

Almost surely, 2^{102735390997404} is an apocalyptic number.

It is an amenable number.

102735390997404 is an abundant number, since it is smaller than the sum of its proper divisors (190815908387940).

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

102735390997404 is a wasteful number, since it uses less digits than its factorization.

102735390997404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31820848 (or 31820843 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 102735390997404 in words is "one hundred two trillion, seven hundred thirty-five billion, three hundred ninety million, nine hundred ninety-seven thousand, four hundred four".