105142080 has 112 divisors (see below), whose sum is σ = 344692224. Its totient is φ = 27125760.

The previous prime is 105142073. The next prime is 105142099. The reversal of 105142080 is 80241501.

It is a super-2 number, since 2×105142080² = 22109713973452800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27994 + ... + 31526.

Almost surely, 2^105142080 is an apocalyptic number.

105142080 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 105142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172346112).

105142080 is an abundant number, since it is smaller than the sum of its proper divisors (239550144).

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

105142080 is a wasteful number, since it uses less digits than its factorization.

105142080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3584 (or 3574 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 105142080 is about 10253.8812163980. The cubic root of 105142080 is about 471.9820925888.

Adding to 105142080 its reverse (80241501), we get a palindrome (185383581).

The spelling of 105142080 in words is "one hundred five million, one hundred forty-two thousand, eighty".