105320100 has 144 divisors (see below), whose sum is σ = 327354048. Its totient is φ = 26050560.

The previous prime is 105320087. The next prime is 105320101. The reversal of 105320100 is 1023501.

It is a super-2 number, since 2×105320100² = 22184646928020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105320101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 545604 + ... + 545796.

It is an arithmetic number, because the mean of its divisors is an integer number (2273292).

Almost surely, 2^105320100 is an apocalyptic number.

105320100 is a gapful number since it is divisible by the number (10) 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 105320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163677024).

105320100 is an abundant number, since it is smaller than the sum of its proper divisors (222033948).

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

105320100 is a wasteful number, since it uses less digits than its factorization.

105320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 105320100 is about 10262.5581606147. The cubic root of 105320100 is about 472.2483192549.

Adding to 105320100 its reverse (1023501), we get a palindrome (106343601).

The spelling of 105320100 in words is "one hundred five million, three hundred twenty thousand, one hundred".