105078160 has 80 divisors (see below), whose sum is σ = 269482752. Its totient is φ = 37785600.

The previous prime is 105078157. The next prime is 105078161. The reversal of 105078160 is 61870501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105078160² = 22082839417971200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105078161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84745 + ... + 85975.

Almost surely, 2^105078160 is an apocalyptic number.

105078160 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 105078160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134741376).

105078160 is an abundant number, since it is smaller than the sum of its proper divisors (164404592).

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

105078160 is a wasteful number, since it uses less digits than its factorization.

105078160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 28.

The square root of 105078160 is about 10250.7638739754. The cubic root of 105078160 is about 471.8864277162.

The spelling of 105078160 in words is "one hundred five million, seventy-eight thousand, one hundred sixty".