105680640 has 288 divisors, whose sum is σ = 381165120. Its totient is φ = 24772608.

The previous prime is 105680639. The next prime is 105680671. The reversal of 105680640 is 46086501.

It is a super-2 number, since 2×105680640² = 22336795341619200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 105680598 and 105680607.

It is a congruent number.

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, 1447644 + ... + 1447716.

It is an arithmetic number, because the mean of its divisors is an integer number (1323490).

Almost surely, 2^105680640 is an apocalyptic number.

105680640 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 105680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190582560).

105680640 is an abundant number, since it is smaller than the sum of its proper divisors (275484480).

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

105680640 is a wasteful number, since it uses less digits than its factorization.

105680640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 125 counting only the distinct ones).

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

The square root of 105680640 is about 10280.1089488390. The cubic root of 105680640 is about 472.7865846326.

The spelling of 105680640 in words is "one hundred five million, six hundred eighty thousand, six hundred forty".