106588380 has 96 divisors (see below), whose sum is σ = 306432000. Its totient is φ = 27675648.

The previous prime is 106588373. The next prime is 106588381. The reversal of 106588380 is 83885601.

It is a happy number.

It is a super-2 number, since 2×106588380² = 22722165502048800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106588381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 535521 + ... + 535719.

It is an arithmetic number, because the mean of its divisors is an integer number (3192000).

Almost surely, 2^106588380 is an apocalyptic number.

106588380 is a gapful number since it is divisible by the number (10) 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 106588380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153216000).

106588380 is an abundant number, since it is smaller than the sum of its proper divisors (199843620).

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

106588380 is a wasteful number, since it uses less digits than its factorization.

106588380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 106588380 is about 10324.1648572657. The cubic root of 106588380 is about 474.1363883188.

The spelling of 106588380 in words is "one hundred six million, five hundred eighty-eight thousand, three hundred eighty".