90101269632 has 192 divisors, whose sum is σ = 265155609600. Its totient is φ = 27086653440.

The previous prime is 90101269631. The next prime is 90101269667. The reversal of 90101269632 is 23696210109.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (90101269631) 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, 5893294 + ... + 5908562.

It is an arithmetic number, because the mean of its divisors is an integer number (1381018800).

Almost surely, 2^90101269632 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 90101269632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132577804800).

90101269632 is an abundant number, since it is smaller than the sum of its proper divisors (175054339968).

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

90101269632 is a wasteful number, since it uses less digits than its factorization.

90101269632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15435 (or 15412 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The spelling of 90101269632 in words is "ninety billion, one hundred one million, two hundred sixty-nine thousand, six hundred thirty-two".