106987520 has 64 divisors (see below), whose sum is σ = 257159340. Its totient is φ = 42729472.

The previous prime is 106987459. The next prime is 106987553. The reversal of 106987520 is 25789601.

It can be written as a sum of positive squares in 2 ways, for example, as 102252544 + 4734976 = 10112^2 + 2176^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-4 number, since 4×106987520⁴ (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 163514 + ... + 164166.

Almost surely, 2^106987520 is an apocalyptic number.

106987520 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 106987520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128579670).

106987520 is an abundant number, since it is smaller than the sum of its proper divisors (150171820).

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

106987520 is an frugal number, since it uses more digits than its factorization.

106987520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 38.

The square root of 106987520 is about 10343.4771716285. The cubic root of 106987520 is about 474.7274817225.

The spelling of 106987520 in words is "one hundred six million, nine hundred eighty-seven thousand, five hundred twenty".