105871920 has 320 divisors, whose sum is σ = 434543616. Its totient is φ = 20643840.

The previous prime is 105871867. The next prime is 105871939. The reversal of 105871920 is 29178501.

It is a super-2 number, since 2×105871920² = 22417726888972800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 313992 + ... + 314328.

Almost surely, 2^105871920 is an apocalyptic number.

105871920 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 105871920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217271808).

105871920 is an abundant number, since it is smaller than the sum of its proper divisors (328671696).

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

105871920 is a wasteful number, since it uses less digits than its factorization.

105871920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

The square root of 105871920 is about 10289.4081462444. The cubic root of 105871920 is about 473.0716576950.

The spelling of 105871920 in words is "one hundred five million, eight hundred seventy-one thousand, nine hundred twenty".