102090475959840 has 144 divisors (see below), whose sum is σ = 363530868861888. Its totient is φ = 26040469221888.

The previous prime is 102090475959803. The next prime is 102090475959841. The reversal of 102090475959840 is 48959574090201.

102090475959840 is a `hidden beast` number, since 1 + 0 + 20 + 90 + 475 + 9 + 59 + 8 + 4 + 0 = 666.

102090475959840 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (102090475959841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1541187834 + ... + 1541254073.

It is an arithmetic number, because the mean of its divisors is an integer number (2524519922652).

Almost surely, 2^{102090475959840} is an apocalyptic number.

102090475959840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102090475959840 is an abundant number, since it is smaller than the sum of its proper divisors (261440392902048).

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

102090475959840 is a wasteful number, since it uses less digits than its factorization.

102090475959840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3082441951 (or 3082441940 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 102090475959840 in words is "one hundred two trillion, ninety billion, four hundred seventy-five million, nine hundred fifty-nine thousand, eight hundred forty".