105901344 has 72 divisors (see below), whose sum is σ = 312333840. Its totient is φ = 35297856.

The previous prime is 105901337. The next prime is 105901349. The reversal of 105901344 is 443109501.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×105901344² = 22430189322012672, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (105901349) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 967 + ... + 14585.

It is an arithmetic number, because the mean of its divisors is an integer number (4337970).

Almost surely, 2^105901344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105901344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156166920).

105901344 is an abundant number, since it is smaller than the sum of its proper divisors (206432496).

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

105901344 is an equidigital number, since it uses as much as digits as its factorization.

105901344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13644 (or 13624 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 105901344 is about 10290.8378667628. The cubic root of 105901344 is about 473.1154791072.

The spelling of 105901344 in words is "one hundred five million, nine hundred one thousand, three hundred forty-four".