105206640 has 160 divisors (see below), whose sum is σ = 406688256. Its totient is φ = 21857280.

The previous prime is 105206627. The next prime is 105206671. The reversal of 105206640 is 46602501.

It is a super-2 number, since 2×105206640² = 22136874200179200, which contains 22 as substring.

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

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 105206640.

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, 15634 + ... + 21326.

Almost surely, 2^105206640 is an apocalyptic number.

105206640 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 105206640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203344128).

105206640 is an abundant number, since it is smaller than the sum of its proper divisors (301481616).

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

105206640 is a wasteful number, since it uses less digits than its factorization.

105206640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5727 (or 5721 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 105206640 is about 10257.0288095530. The cubic root of 105206640 is about 472.0786759591.

The spelling of 105206640 in words is "one hundred five million, two hundred six thousand, six hundred forty".