105461160 has 128 divisors (see below), whose sum is σ = 363847680. Its totient is φ = 23954688.

The previous prime is 105461123. The next prime is 105461171. The reversal of 105461160 is 61164501.

It is a super-2 number, since 2×105461160² = 22244112537091200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 105461160.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187039 + ... + 187601.

It is an arithmetic number, because the mean of its divisors is an integer number (2842560).

Almost surely, 2^105461160 is an apocalyptic number.

105461160 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 105461160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181923840).

105461160 is an abundant number, since it is smaller than the sum of its proper divisors (258386520).

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

105461160 is a wasteful number, since it uses less digits than its factorization.

105461160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 105461160 is about 10269.4284164212. The cubic root of 105461160 is about 472.4590597489.

The spelling of 105461160 in words is "one hundred five million, four hundred sixty-one thousand, one hundred sixty".