105145440 has 48 divisors (see below), whose sum is σ = 331209648. Its totient is φ = 28038656.

The previous prime is 105145393. The next prime is 105145441. The reversal of 105145440 is 44541501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×105145440² = 22111127105587200, 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 105145440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105145441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109047 + ... + 110006.

It is an arithmetic number, because the mean of its divisors is an integer number (6900201).

Almost surely, 2^105145440 is an apocalyptic number.

105145440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105145440 is an abundant number, since it is smaller than the sum of its proper divisors (226064208).

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

105145440 is a wasteful number, since it uses less digits than its factorization.

105145440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219071 (or 219063 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 105145440 is about 10254.0450554891. The cubic root of 105145440 is about 471.9871202078.

Adding to 105145440 its reverse (44541501), we get a palindrome (149686941).

The spelling of 105145440 in words is "one hundred five million, one hundred forty-five thousand, four hundred forty".