90208644246105 has 192 divisors, whose sum is σ = 184057459052544. Its totient is φ = 36921860236800.

The previous prime is 90208644246089. The next prime is 90208644246121. The reversal of 90208644246105 is 50164244680209.

It is an interprime number because it is at equal distance from previous prime (90208644246089) and next prime (90208644246121).

It is not a de Polignac number, because 90208644246105 - 2⁴ = 90208644246089 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5601969484 + ... + 5601985586.

It is an arithmetic number, because the mean of its divisors is an integer number (958632599232).

Almost surely, 2^{90208644246105} is an apocalyptic number.

It is an amenable number.

90208644246105 is an abundant number, since it is smaller than the sum of its proper divisors (93848814806439).

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

90208644246105 is a wasteful number, since it uses less digits than its factorization.

90208644246105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22788 (or 22777 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 90208644246105 in words is "ninety trillion, two hundred eight billion, six hundred forty-four million, two hundred forty-six thousand, one hundred five".