105046128 has 240 divisors, whose sum is σ = 350977536. Its totient is φ = 28968960.

The previous prime is 105046127. The next prime is 105046147. The reversal of 105046128 is 821640501.

It is a super-2 number, since 2×105046128² = 22069378015584768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105046121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1265575 + ... + 1265657.

Almost surely, 2^105046128 is an apocalyptic number.

105046128 is a gapful number since it is divisible by the number (18) 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 105046128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175488768).

105046128 is an abundant number, since it is smaller than the sum of its proper divisors (245931408).

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

105046128 is a wasteful number, since it uses less digits than its factorization.

105046128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 105046128 is about 10249.2013347382. The cubic root of 105046128 is about 471.8384729295.

Adding to 105046128 its reverse (821640501), we get a palindrome (926686629).

The spelling of 105046128 in words is "one hundred five million, forty-six thousand, one hundred twenty-eight".