105838920 has 256 divisors, whose sum is σ = 393984000. Its totient is φ = 25056000.

The previous prime is 105838913. The next prime is 105838921. The reversal of 105838920 is 29838501.

105838920 = T₂₁₅ + T₂₁₆ + ... + T₈₆₃.

It is a super-2 number, since 2×105838920² = 22403753973532800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (105838921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 700845 + ... + 700995.

It is an arithmetic number, because the mean of its divisors is an integer number (1539000).

Almost surely, 2^105838920 is an apocalyptic number.

105838920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105838920 is the 5940-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105838920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196992000).

105838920 is an abundant number, since it is smaller than the sum of its proper divisors (288145080).

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

105838920 is a wasteful number, since it uses less digits than its factorization.

105838920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 105838920 is about 10287.8044304895. The cubic root of 105838920 is about 473.0225008553.

It can be divided in two parts, 10583 and 8920, that added together give a triangular number (19503 = T₁₉₇).

The spelling of 105838920 in words is "one hundred five million, eight hundred thirty-eight thousand, nine hundred twenty".