90905130 has 48 divisors (see below), whose sum is σ = 237523104. Its totient is φ = 24121440.

The previous prime is 90905119. The next prime is 90905141. The reversal of 90905130 is 3150909.

It is an interprime number because it is at equal distance from previous prime (90905119) and next prime (90905141).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 90905094 and 90905103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16597 + ... + 21383.

It is an arithmetic number, because the mean of its divisors is an integer number (4948398).

Almost surely, 2^90905130 is an apocalyptic number.

90905130 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 90905130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118761552).

90905130 is an abundant number, since it is smaller than the sum of its proper divisors (146617974).

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

90905130 is a wasteful number, since it uses less digits than its factorization.

90905130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5011 (or 5008 counting only the distinct ones).

The product of its (nonzero) digits is 1215, while the sum is 27.

The square root of 90905130 is about 9534.4181783683. The cubic root of 90905130 is about 449.6377825935.

The spelling of 90905130 in words is "ninety million, nine hundred five thousand, one hundred thirty".