105627940 has 48 divisors (see below), whose sum is σ = 246576960. Its totient is φ = 37681280.

The previous prime is 105627923. The next prime is 105627971. The reversal of 105627940 is 49726501.

It is a super-2 number, since 2×105627940² = 22314523417287200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105627896 and 105627905.

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 15 ways as a sum of consecutive naturals, for example, 7131 + ... + 16189.

It is an arithmetic number, because the mean of its divisors is an integer number (5137020).

Almost surely, 2^105627940 is an apocalyptic number.

105627940 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 105627940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123288480).

105627940 is an abundant number, since it is smaller than the sum of its proper divisors (140949020).

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

105627940 is a wasteful number, since it uses less digits than its factorization.

105627940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9132 (or 9130 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 105627940 is about 10277.5454268030. The cubic root of 105627940 is about 472.7079830528.

The spelling of 105627940 in words is "one hundred five million, six hundred twenty-seven thousand, nine hundred forty".