105535650 has 96 divisors (see below), whose sum is σ = 287981568. Its totient is φ = 25364800.

The previous prime is 105535649. The next prime is 105535663. The reversal of 105535650 is 56535501.

It is a super-2 number, since 2×105535650² = 22275546841845000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 275359 + ... + 275741.

It is an arithmetic number, because the mean of its divisors is an integer number (2999808).

Almost surely, 2^105535650 is an apocalyptic number.

105535650 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 105535650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143990784).

105535650 is an abundant number, since it is smaller than the sum of its proper divisors (182445918).

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

105535650 is a wasteful number, since it uses less digits than its factorization.

105535650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 11250, while the sum is 30.

The square root of 105535650 is about 10273.0545603535. The cubic root of 105535650 is about 472.5702703361.

The spelling of 105535650 in words is "one hundred five million, five hundred thirty-five thousand, six hundred fifty".