90151087104 has 792 divisors, whose sum is σ = 310754742480. Its totient is φ = 25918341120.

The previous prime is 90151087069. The next prime is 90151087151. The reversal of 90151087104 is 40178015109.

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

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 2908099569 + ... + 2908099599.

Almost surely, 2^90151087104 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 90151087104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155377371240).

90151087104 is an abundant number, since it is smaller than the sum of its proper divisors (220603655376).

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

90151087104 is a wasteful number, since it uses less digits than its factorization.

90151087104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 90151087104 in words is "ninety billion, one hundred fifty-one million, eighty-seven thousand, one hundred four".