105211392 has 160 divisors (see below), whose sum is σ = 329978880. Its totient is φ = 29368320.

The previous prime is 105211363. The next prime is 105211399. The reversal of 105211392 is 293112501.

It is a super-2 number, since 2×105211392² = 22138874013155328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105211399) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219409 + ... + 219887.

It is an arithmetic number, because the mean of its divisors is an integer number (2062368).

Almost surely, 2^105211392 is an apocalyptic number.

105211392 is a gapful number since it is divisible by the number (12) 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 105211392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164989440).

105211392 is an abundant number, since it is smaller than the sum of its proper divisors (224767488).

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

105211392 is a wasteful number, since it uses less digits than its factorization.

105211392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 105211392 is about 10257.2604529670. The cubic root of 105211392 is about 472.0857835082.

Adding to 105211392 its reverse (293112501), we get a palindrome (398323893).

The spelling of 105211392 in words is "one hundred five million, two hundred eleven thousand, three hundred ninety-two".