105873480 has 160 divisors (see below), whose sum is σ = 364989240. Its totient is φ = 27509760.

The previous prime is 105873457. The next prime is 105873497. The reversal of 105873480 is 84378501.

105873480 is a `hidden beast` number, since 105 + 8 + 73 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 56340036 + 49533444 = 7506^2 + 7038^2 .

It is a super-2 number, since 2×105873480² = 22418387534620800, 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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 132442 + ... + 133238.

Almost surely, 2^105873480 is an apocalyptic number.

105873480 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 105873480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182494620).

105873480 is an abundant number, since it is smaller than the sum of its proper divisors (259115760).

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

105873480 is a wasteful number, since it uses less digits than its factorization.

105873480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 105873480 is about 10289.4839520746. The cubic root of 105873480 is about 473.0739812200.

The spelling of 105873480 in words is "one hundred five million, eight hundred seventy-three thousand, four hundred eighty".