105373440 has 144 divisors (see below), whose sum is σ = 374052000. Its totient is φ = 28090368.

The previous prime is 105373423. The next prime is 105373451. The reversal of 105373440 is 44373501.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×105373440² = 22207123714867200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33036 + ... + 36084.

Almost surely, 2^105373440 is an apocalyptic number.

105373440 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 105373440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187026000).

105373440 is an abundant number, since it is smaller than the sum of its proper divisors (268678560).

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

105373440 is an equidigital number, since it uses as much as digits as its factorization.

105373440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3079 (or 3059 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 105373440 is about 10265.1565989029. The cubic root of 105373440 is about 472.3280301365.

The spelling of 105373440 in words is "one hundred five million, three hundred seventy-three thousand, four hundred forty".