106598080 has 56 divisors (see below), whose sum is σ = 255391920. Its totient is φ = 42378240.

The previous prime is 106598071. The next prime is 106598081. The reversal of 106598080 is 80895601.

It is a super-2 number, since 2×106598080² = 22726301319372800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106598081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56350 + ... + 58210.

It is an arithmetic number, because the mean of its divisors is an integer number (4560570).

Almost surely, 2^106598080 is an apocalyptic number.

106598080 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 106598080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127695960).

106598080 is an abundant number, since it is smaller than the sum of its proper divisors (148793840).

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

106598080 is a wasteful number, since it uses less digits than its factorization.

106598080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2057 (or 2047 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 37.

The square root of 106598080 is about 10324.6346182323. The cubic root of 106598080 is about 474.1507706979.

The spelling of 106598080 in words is "one hundred six million, five hundred ninety-eight thousand, eighty".