105512400 has 360 divisors, whose sum is σ = 431758080. Its totient is φ = 23362560.

The previous prime is 105512383. The next prime is 105512423. The reversal of 105512400 is 4215501.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×105512400² = 22265733107520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1335561 + ... + 1335639.

It is an arithmetic number, because the mean of its divisors is an integer number (1199328).

Almost surely, 2^105512400 is an apocalyptic number.

105512400 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 105512400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215879040).

105512400 is an abundant number, since it is smaller than the sum of its proper divisors (326245680).

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

105512400 is a wasteful number, since it uses less digits than its factorization.

105512400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 105512400 is about 10271.9228969069. The cubic root of 105512400 is about 472.5355646364.

Adding to 105512400 its reverse (4215501), we get a palindrome (109727901).

The spelling of 105512400 in words is "one hundred five million, five hundred twelve thousand, four hundred".