105141400 has 192 divisors, whose sum is σ = 309355200. Its totient is φ = 32348160.

The previous prime is 105141373. The next prime is 105141401. The reversal of 105141400 is 4141501.

It is a super-2 number, since 2×105141400² = 22109427987920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105141401) 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, 964546 + ... + 964654.

It is an arithmetic number, because the mean of its divisors is an integer number (1611225).

Almost surely, 2^105141400 is an apocalyptic number.

105141400 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 105141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154677600).

105141400 is an abundant number, since it is smaller than the sum of its proper divisors (204213800).

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

105141400 is a wasteful number, since it uses less digits than its factorization.

105141400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 105141400 is about 10253.8480581682. The cubic root of 105141400 is about 471.9810750815.

Adding to 105141400 its reverse (4141501), we get a palindrome (109282901).

The spelling of 105141400 in words is "one hundred five million, one hundred forty-one thousand, four hundred".