106438590 has 64 divisors (see below), whose sum is σ = 284774400. Its totient is φ = 28289952.

The previous prime is 106438567. The next prime is 106438601. The reversal of 106438590 is 95834601.

106438590 is a `hidden beast` number, since 1 + 0 + 64 + 3 + 8 + 590 = 666.

It is a super-2 number, since 2×106438590² = 22658346882376200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128919 + ... + 129741.

It is an arithmetic number, because the mean of its divisors is an integer number (4449600).

Almost surely, 2^106438590 is an apocalyptic number.

106438590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106438590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142387200).

106438590 is an abundant number, since it is smaller than the sum of its proper divisors (178335810).

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

106438590 is a wasteful number, since it uses less digits than its factorization.

106438590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 106438590 is about 10316.9079670219. The cubic root of 106438590 is about 473.9141809060.

The spelling of 106438590 in words is "one hundred six million, four hundred thirty-eight thousand, five hundred ninety".