105450640 has 80 divisors (see below), whose sum is σ = 251983872. Its totient is φ = 41029632.

The previous prime is 105450637. The next prime is 105450649. The reversal of 105450640 is 46054501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105450640² = 22239674952819200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105450649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 830257 + ... + 830383.

Almost surely, 2^105450640 is an apocalyptic number.

105450640 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 105450640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125991936).

105450640 is an abundant number, since it is smaller than the sum of its proper divisors (146533232).

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

105450640 is a wasteful number, since it uses less digits than its factorization.

105450640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 105450640 is about 10268.9162037676. The cubic root of 105450640 is about 472.4433495905.

The spelling of 105450640 in words is "one hundred five million, four hundred fifty thousand, six hundred forty".