105397920 has 144 divisors (see below), whose sum is σ = 366721992. Its totient is φ = 27555840.

The previous prime is 105397907. The next prime is 105397931. The reversal of 105397920 is 29793501.

105397920 = 494² + 495² + ... + 758².

It can be written as a sum of positive squares in 4 ways, for example, as 91470096 + 13927824 = 9564^2 + 3732^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×105397920² = 22217443080652800, which contains 22 as substring.

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

It is a congruent number.

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, 75630 + ... + 77010.

Almost surely, 2^105397920 is an apocalyptic number.

105397920 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 105397920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183360996).

105397920 is an abundant number, since it is smaller than the sum of its proper divisors (261324072).

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

105397920 is a wasteful number, since it uses less digits than its factorization.

105397920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 105397920 is about 10266.3489128317. The cubic root of 105397920 is about 472.3646038528.

The spelling of 105397920 in words is "one hundred five million, three hundred ninety-seven thousand, nine hundred twenty".