106540175320 has 16 divisors (see below), whose sum is σ = 239715394560. Its totient is φ = 42616070112.

The previous prime is 106540175317. The next prime is 106540175353. The reversal of 106540175320 is 23571045601.

106540175320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106540175320² (a number of 23 digits) 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 3 ways as a sum of consecutive naturals, for example, 1331752152 + ... + 1331752231.

It is an arithmetic number, because the mean of its divisors is an integer number (14982212160).

Almost surely, 2^106540175320 is an apocalyptic number.

106540175320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106540175320 is an abundant number, since it is smaller than the sum of its proper divisors (133175219240).

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

106540175320 is a wasteful number, since it uses less digits than its factorization.

106540175320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2663504394 (or 2663504390 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The spelling of 106540175320 in words is "one hundred six billion, five hundred forty million, one hundred seventy-five thousand, three hundred twenty".