105078870 has 160 divisors (see below), whose sum is σ = 322727328. Its totient is φ = 24302592.

The previous prime is 105078851. The next prime is 105078917. The reversal of 105078870 is 78870501.

105078870 is a `hidden beast` number, since 1 + 0 + 507 + 88 + 70 = 666.

It is a super-2 number, since 2×105078870² = 22083137840953800, which contains 22 as substring.

It is a Curzon number.

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 79 ways as a sum of consecutive naturals, for example, 178717 + ... + 179303.

Almost surely, 2^105078870 is an apocalyptic number.

105078870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105078870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161363664).

105078870 is an abundant number, since it is smaller than the sum of its proper divisors (217648458).

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

105078870 is a wasteful number, since it uses less digits than its factorization.

105078870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The square root of 105078870 is about 10250.7985054824. The cubic root of 105078870 is about 471.8874905397.

The spelling of 105078870 in words is "one hundred five million, seventy-eight thousand, eight hundred seventy".