105038950 has 24 divisors (see below), whose sum is σ = 198581040. Its totient is φ = 41325600.

The previous prime is 105038933. The next prime is 105038959. The reversal of 105038950 is 59830501.

It is a super-2 number, since 2×105038950² = 22066362034205000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105038959) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 14170 + ... + 20269.

It is an arithmetic number, because the mean of its divisors is an integer number (8274210).

Almost surely, 2^105038950 is an apocalyptic number.

105038950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105038950 is a deficient number, since it is larger than the sum of its proper divisors (93542090).

105038950 is a wasteful number, since it uses less digits than its factorization.

105038950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34512 (or 34507 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 31.

The square root of 105038950 is about 10248.8511551295. The cubic root of 105038950 is about 471.8277254805.

It can be divided in two parts, 1050 and 38950, that added together give a square (40000 = 200²).

The spelling of 105038950 in words is "one hundred five million, thirty-eight thousand, nine hundred fifty".