90106473600 has 2160 divisors, whose sum is σ = 419046753510. Its totient is φ = 18977587200.

The previous prime is 90106473593. The next prime is 90106473607. The reversal of 90106473600 is 637460109.

90106473600 is a `hidden beast` number, since 9 + 0 + 1 + 0 + 6 + 47 + 3 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (90106473593) and next prime (90106473607).

It can be written as a sum of positive squares in 9 ways, for example, as 5645376 + 90100828224 = 2376^2 + 300168^2 .

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90106473607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 5300380792 + ... + 5300380808.

Almost surely, 2^90106473600 is an apocalyptic number.

90106473600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90106473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209523376755).

90106473600 is an abundant number, since it is smaller than the sum of its proper divisors (328940279910).

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

90106473600 is a wasteful number, since it uses less digits than its factorization.

90106473600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 90106473600 in words is "ninety billion, one hundred six million, four hundred seventy-three thousand, six hundred".