90190100 has 288 divisors, whose sum is σ = 283481856. Its totient is φ = 23961600.

The previous prime is 90190099. The next prime is 90190103. The reversal of 90190100 is 109109.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90190103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1701674 + ... + 1701726.

It is an arithmetic number, because the mean of its divisors is an integer number (984312).

Almost surely, 2^90190100 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 90190100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141740928).

90190100 is an abundant number, since it is smaller than the sum of its proper divisors (193291756).

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

90190100 is a wasteful number, since it uses less digits than its factorization.

90190100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 20.

The square root of 90190100 is about 9496.8468451376. The cubic root of 90190100 is about 448.4557768535.

Adding to 90190100 its reverse (109109), we get a palindrome (90299209).

It can be divided in two parts, 901 and 90100, that multiplied together give a square (81180100 = 9010²).

The spelling of 90190100 in words is "ninety million, one hundred ninety thousand, one hundred".