105332640 has 384 divisors, whose sum is σ = 418037760. Its totient is φ = 21762048.

The previous prime is 105332639. The next prime is 105332651. The reversal of 105332640 is 46233501.

It is a happy number.

It is a super-2 number, since 2×105332640² = 22189930098739200, 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 105332640.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2241097 + ... + 2241143.

It is an arithmetic number, because the mean of its divisors is an integer number (1088640).

Almost surely, 2^105332640 is an apocalyptic number.

105332640 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 105332640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209018880).

105332640 is an abundant number, since it is smaller than the sum of its proper divisors (312705120).

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

105332640 is a wasteful number, since it uses less digits than its factorization.

105332640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 105332640 is about 10263.1691012085. The cubic root of 105332640 is about 472.2670613529.

The spelling of 105332640 in words is "one hundred five million, three hundred thirty-two thousand, six hundred forty".