105398020 has 72 divisors (see below), whose sum is σ = 277311384. Its totient is φ = 33352704.

The previous prime is 105397993. The next prime is 105398053. The reversal of 105398020 is 20893501.

It can be written as a sum of positive squares in 4 ways, for example, as 7150276 + 98247744 = 2674^2 + 9912^2 .

It is a super-2 number, since 2×105398020² = 22217485239840800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 105398020.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8604 + ... + 16876.

It is an arithmetic number, because the mean of its divisors is an integer number (3851547).

Almost surely, 2^105398020 is an apocalyptic number.

105398020 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 105398020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138655692).

105398020 is an abundant number, since it is smaller than the sum of its proper divisors (171913364).

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

105398020 is a wasteful number, since it uses less digits than its factorization.

105398020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8309 (or 8300 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 105398020 is about 10266.3537831111. The cubic root of 105398020 is about 472.3647532436.

The spelling of 105398020 in words is "one hundred five million, three hundred ninety-eight thousand, twenty".