105160340 has 24 divisors (see below), whose sum is σ = 224459592. Its totient is φ = 41374080.

The previous prime is 105160313. The next prime is 105160379. The reversal of 105160340 is 43061501.

It can be written as a sum of positive squares in 4 ways, for example, as 11806096 + 93354244 = 3436^2 + 9662^2 .

It is a super-2 number, since 2×105160340² = 22117394217831200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41879 + ... + 44318.

It is an arithmetic number, because the mean of its divisors is an integer number (9352483).

Almost surely, 2^105160340 is an apocalyptic number.

105160340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105160340 is an abundant number, since it is smaller than the sum of its proper divisors (119299252).

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

105160340 is a wasteful number, since it uses less digits than its factorization.

105160340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86267 (or 86265 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 105160340 is about 10254.7715722975. The cubic root of 105160340 is about 472.0094140131.

The spelling of 105160340 in words is "one hundred five million, one hundred sixty thousand, three hundred forty".