105368740 has 12 divisors (see below), whose sum is σ = 221274396. Its totient is φ = 42147488.

The previous prime is 105368677. The next prime is 105368741. The reversal of 105368740 is 47863501.

It can be written as a sum of positive squares in 2 ways, for example, as 36578304 + 68790436 = 6048^2 + 8294^2 .

It is a super-2 number, since 2×105368740² = 22205142738375200, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 105368696 and 105368705.

It is not an unprimeable number, because it can be changed into a prime (105368741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2634199 + ... + 2634238.

It is an arithmetic number, because the mean of its divisors is an integer number (18439533).

Almost surely, 2^105368740 is an apocalyptic number.

105368740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105368740 is an abundant number, since it is smaller than the sum of its proper divisors (115905656).

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

105368740 is a wasteful number, since it uses less digits than its factorization.

105368740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5268446 (or 5268444 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 105368740 is about 10264.9276665742. The cubic root of 105368740 is about 472.3210075738.

The spelling of 105368740 in words is "one hundred five million, three hundred sixty-eight thousand, seven hundred forty".