106787550 has 96 divisors (see below), whose sum is σ = 276839424. Its totient is φ = 27216000.

The previous prime is 106787531. The next prime is 106787561. The reversal of 106787550 is 55787601.

It is a super-2 number, since 2×106787550² = 22807161670005000, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 106787499 and 106787508.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 393915 + ... + 394185.

It is an arithmetic number, because the mean of its divisors is an integer number (2883744).

Almost surely, 2^106787550 is an apocalyptic number.

106787550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106787550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138419712).

106787550 is an abundant number, since it is smaller than the sum of its proper divisors (170051874).

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

106787550 is a wasteful number, since it uses less digits than its factorization.

106787550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 39.

The square root of 106787550 is about 10333.8061719775. The cubic root of 106787550 is about 474.4315267636.

The spelling of 106787550 in words is "one hundred six million, seven hundred eighty-seven thousand, five hundred fifty".