90282961104 has 160 divisors (see below), whose sum is σ = 277875548160. Its totient is φ = 24715584000.

The previous prime is 90282961103. The next prime is 90282961129. The reversal of 90282961104 is 40116928209.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90282961103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1009107 + ... + 1094925.

It is an arithmetic number, because the mean of its divisors is an integer number (1736722176).

Almost surely, 2^90282961104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90282961104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138937774080).

90282961104 is an abundant number, since it is smaller than the sum of its proper divisors (187592587056).

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

90282961104 is a wasteful number, since it uses less digits than its factorization.

90282961104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85969 (or 85963 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 90282961104 in words is "ninety billion, two hundred eighty-two million, nine hundred sixty-one thousand, one hundred four".