105035040 has 288 divisors, whose sum is σ = 412776000. Its totient is φ = 24053760.

The previous prime is 105034999. The next prime is 105035053. The reversal of 105035040 is 40530501.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×105035040² = 22064719255603200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 300786 + ... + 301134.

It is an arithmetic number, because the mean of its divisors is an integer number (1433250).

Almost surely, 2^105035040 is an apocalyptic number.

105035040 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 105035040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206388000).

105035040 is an abundant number, since it is smaller than the sum of its proper divisors (307740960).

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

105035040 is a wasteful number, since it uses less digits than its factorization.

105035040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 105035040 is about 10248.6604002670. The cubic root of 105035040 is about 471.8218709243.

Adding to 105035040 its reverse (40530501), we get a palindrome (145565541).

The spelling of 105035040 in words is "one hundred five million, thirty-five thousand, forty".