105640680 has 128 divisors (see below), whose sum is σ = 330739200. Its totient is φ = 26971392.

The previous prime is 105640651. The next prime is 105640699. The reversal of 105640680 is 86046501.

It is a super-2 number, since 2×105640680² = 22319906541724800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a cake number, because a cake can be divided into 105640680 parts by 859 planar cuts.

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, 304267 + ... + 304613.

It is an arithmetic number, because the mean of its divisors is an integer number (2583900).

Almost surely, 2^105640680 is an apocalyptic number.

105640680 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 105640680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165369600).

105640680 is an abundant number, since it is smaller than the sum of its proper divisors (225098520).

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

105640680 is a wasteful number, since it uses less digits than its factorization.

105640680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 105640680 is about 10278.1652059110. The cubic root of 105640680 is about 472.7269870448.

The spelling of 105640680 in words is "one hundred five million, six hundred forty thousand, six hundred eighty".