106388520 has 64 divisors (see below), whose sum is σ = 364763520. Its totient is φ = 24317184.

The previous prime is 106388509. The next prime is 106388537. The reversal of 106388520 is 25883601.

It is a happy number.

It is a super-2 number, since 2×106388520² = 22637034375580800, 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 15 ways as a sum of consecutive naturals, for example, 62487 + ... + 64166.

It is an arithmetic number, because the mean of its divisors is an integer number (5699430).

Almost surely, 2^106388520 is an apocalyptic number.

106388520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106388520 is an abundant number, since it is smaller than the sum of its proper divisors (258375000).

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

106388520 is a wasteful number, since it uses less digits than its factorization.

106388520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126674 (or 126670 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 106388520 is about 10314.4810824394. The cubic root of 106388520 is about 473.8398575965.

The spelling of 106388520 in words is "one hundred six million, three hundred eighty-eight thousand, five hundred twenty".