105362838 has 72 divisors (see below), whose sum is σ = 281218392. Its totient is φ = 28328832.

The previous prime is 105362837. The next prime is 105362843. The reversal of 105362838 is 838263501.

It is a super-2 number, since 2×105362838² = 22202655262828488, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105362837) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11481 + ... + 18507.

It is an arithmetic number, because the mean of its divisors is an integer number (3905811).

Almost surely, 2^105362838 is an apocalyptic number.

105362838 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105362838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140609196).

105362838 is an abundant number, since it is smaller than the sum of its proper divisors (175855554).

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

105362838 is a wasteful number, since it uses less digits than its factorization.

105362838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7066 (or 7056 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 105362838 is about 10264.6401787885. The cubic root of 105362838 is about 472.3121887324.

The spelling of 105362838 in words is "one hundred five million, three hundred sixty-two thousand, eight hundred thirty-eight".