90042701100 has 144 divisors (see below), whose sum is σ = 284421545856. Its totient is φ = 21812096000.

The previous prime is 90042701087. The next prime is 90042701101. The reversal of 90042701100 is 110724009.

It is not an unprimeable number, because it can be changed into a prime (90042701101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4699540 + ... + 4718660.

It is an arithmetic number, because the mean of its divisors is an integer number (1975149624).

Almost surely, 2^90042701100 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 90042701100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142210772928).

90042701100 is an abundant number, since it is smaller than the sum of its proper divisors (194378844756).

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

90042701100 is a wasteful number, since it uses less digits than its factorization.

90042701100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20576 (or 20569 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The spelling of 90042701100 in words is "ninety billion, forty-two million, seven hundred one thousand, one hundred".