90106506 has 80 divisors (see below), whose sum is σ = 232552320. Its totient is φ = 25544160.

The previous prime is 90106469. The next prime is 90106517. The reversal of 90106506 is 60560109.

90106506 is a `hidden beast` number, since 9 + 0 + 1 + 0 + 650 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 90106506.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 205035 + ... + 205473.

It is an arithmetic number, because the mean of its divisors is an integer number (2906904).

Almost surely, 2^90106506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90106506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116276160).

90106506 is an abundant number, since it is smaller than the sum of its proper divisors (142445814).

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

90106506 is a wasteful number, since it uses less digits than its factorization.

90106506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 90106506 is about 9492.4446798493. Note that the first 3 decimals coincide. The cubic root of 90106506 is about 448.3171814483.

The spelling of 90106506 in words is "ninety million, one hundred six thousand, five hundred six".