105361920 has 240 divisors, whose sum is σ = 387798840. Its totient is φ = 26345472.

The previous prime is 105361913. The next prime is 105361939. The reversal of 105361920 is 29163501.

It can be written as a sum of positive squares in 4 ways, for example, as 73822464 + 31539456 = 8592^2 + 5616^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×105361920² = 22202268372172800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 391546 + ... + 391814.

Almost surely, 2^105361920 is an apocalyptic number.

105361920 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 105361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193899420).

105361920 is an abundant number, since it is smaller than the sum of its proper divisors (282436920).

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

105361920 is a wasteful number, since it uses less digits than its factorization.

105361920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 105361920 is about 10264.5954620725. The cubic root of 105361920 is about 472.3108170158.

The spelling of 105361920 in words is "one hundred five million, three hundred sixty-one thousand, nine hundred twenty".