106589504 has 84 divisors (see below), whose sum is σ = 252351540. Its totient is φ = 44513280.

The previous prime is 106589503. The next prime is 106589533. The reversal of 106589504 is 405985601.

It can be written as a sum of positive squares in 2 ways, for example, as 28302400 + 78287104 = 5320^2 + 8848^2 .

It is a super-2 number, since 2×106589504² = 22722644725932032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106589503) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128162 + ... + 128990.

It is an arithmetic number, because the mean of its divisors is an integer number (3004185).

Almost surely, 2^106589504 is an apocalyptic number.

106589504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106589504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126175770).

106589504 is an abundant number, since it is smaller than the sum of its proper divisors (145762036).

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

106589504 is an equidigital number, since it uses as much as digits as its factorization.

106589504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 38.

The square root of 106589504 is about 10324.2192925180. The cubic root of 106589504 is about 474.1380549402.

The spelling of 106589504 in words is "one hundred six million, five hundred eighty-nine thousand, five hundred four".