105636630 has 48 divisors (see below), whose sum is σ = 278680752. Its totient is φ = 25608000.

The previous prime is 105636617. The next prime is 105636709. The reversal of 105636630 is 36636501.

It is a super-2 number, since 2×105636630² = 22318195195513800, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10921 + ... + 18180.

It is an arithmetic number, because the mean of its divisors is an integer number (5805849).

Almost surely, 2^105636630 is an apocalyptic number.

105636630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105636630 is an abundant number, since it is smaller than the sum of its proper divisors (173044122).

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

105636630 is a wasteful number, since it uses less digits than its factorization.

105636630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29133 (or 29122 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 105636630 is about 10277.9681844224. The cubic root of 105636630 is about 472.7209459100.

The spelling of 105636630 in words is "one hundred five million, six hundred thirty-six thousand, six hundred thirty".