105145040 has 240 divisors, whose sum is σ = 333300096. Its totient is φ = 29952000.

The previous prime is 105145013. The next prime is 105145081. The reversal of 105145040 is 40541501.

It is a super-2 number, since 2×105145040² = 22110958873203200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 1040990 + ... + 1041090.

Almost surely, 2^105145040 is an apocalyptic number.

105145040 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 105145040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166650048).

105145040 is an abundant number, since it is smaller than the sum of its proper divisors (228155056).

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

105145040 is a wasteful number, since it uses less digits than its factorization.

105145040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 105145040 is about 10254.0255509727. The cubic root of 105145040 is about 471.9865216873.

Adding to 105145040 its reverse (40541501), we get a palindrome (145686541).

The spelling of 105145040 in words is "one hundred five million, one hundred forty-five thousand, forty".