105023040 has 112 divisors (see below), whose sum is σ = 344302080. Its totient is φ = 27095040.

The previous prime is 105023003. The next prime is 105023047. The reversal of 105023040 is 40320501.

It is a super-2 number, since 2×105023040² = 22059677861683200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (105023047) 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, 27996 + ... + 31524.

Almost surely, 2^105023040 is an apocalyptic number.

105023040 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 105023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172151040).

105023040 is an abundant number, since it is smaller than the sum of its proper divisors (239279040).

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

105023040 is a wasteful number, since it uses less digits than its factorization.

105023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3580 (or 3570 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 105023040 is about 10248.0749411780. The cubic root of 105023040 is about 471.8039020697.

Adding to 105023040 its reverse (40320501), we get a palindrome (145343541).

It can be divided in two parts, 1050 and 23040, that added together give a triangular number (24090 = T₂₁₉).

The spelling of 105023040 in words is "one hundred five million, twenty-three thousand, forty".