106352520 has 32 divisors (see below), whose sum is σ = 319057920. Its totient is φ = 28360640.

The previous prime is 106352513. The next prime is 106352531. The reversal of 106352520 is 25253601.

It is a super-3 number, since 3×106352520³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 443016 + ... + 443255.

It is an arithmetic number, because the mean of its divisors is an integer number (9970560).

Almost surely, 2^106352520 is an apocalyptic number.

106352520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106352520 is an abundant number, since it is smaller than the sum of its proper divisors (212705400).

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

106352520 is a wasteful number, since it uses less digits than its factorization.

106352520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886285 (or 886281 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 106352520 is about 10312.7358154856. The cubic root of 106352520 is about 473.7864052149.

The spelling of 106352520 in words is "one hundred six million, three hundred fifty-two thousand, five hundred twenty".