102435046620240 has 80 divisors (see below), whose sum is σ = 326131040348928. Its totient is φ = 26577741823488.

The previous prime is 102435046620229. The next prime is 102435046620253. The reversal of 102435046620240 is 42026640534201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5767730232 + ... + 5767747991.

Almost surely, 2^{102435046620240} is an apocalyptic number.

102435046620240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102435046620240 is an abundant number, since it is smaller than the sum of its proper divisors (223695993728688).

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

102435046620240 is a wasteful number, since it uses less digits than its factorization.

102435046620240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11535478276 (or 11535478270 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

The spelling of 102435046620240 in words is "one hundred two trillion, four hundred thirty-five billion, forty-six million, six hundred twenty thousand, two hundred forty".