105876480 has 176 divisors, whose sum is σ = 347236704. Its totient is φ = 27525120.

The previous prime is 105876469. The next prime is 105876523. The reversal of 105876480 is 84678501.

It is a super-2 number, since 2×105876480² = 22419658034380800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 936904 + ... + 937016.

Almost surely, 2^105876480 is an apocalyptic number.

105876480 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 105876480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173618352).

105876480 is an abundant number, since it is smaller than the sum of its proper divisors (241360224).

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

105876480 is a wasteful number, since it uses less digits than its factorization.

105876480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 105876480 is about 10289.6297309476. The cubic root of 105876480 is about 473.0784494732.

The spelling of 105876480 in words is "one hundred five million, eight hundred seventy-six thousand, four hundred eighty".