106540580 has 24 divisors (see below), whose sum is σ = 226803192. Its totient is φ = 42031872.

The previous prime is 106540579. The next prime is 106540601. The reversal of 106540580 is 85045601.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9084196 + 97456384 = 3014^2 + 9872^2 .

It is a super-2 number, since 2×106540580² = 22701790373472800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35027 + ... + 37946.

It is an arithmetic number, because the mean of its divisors is an integer number (9450133).

Almost surely, 2^106540580 is an apocalyptic number.

106540580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106540580 is an abundant number, since it is smaller than the sum of its proper divisors (120262612).

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

106540580 is a wasteful number, since it uses less digits than its factorization.

106540580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73055 (or 73053 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 106540580 is about 10321.8496404472. The cubic root of 106540580 is about 474.0655015796.

The spelling of 106540580 in words is "one hundred six million, five hundred forty thousand, five hundred eighty".