105451200 has 168 divisors, whose sum is σ = 384566160. Its totient is φ = 28108800.

The previous prime is 105451183. The next prime is 105451217. The reversal of 105451200 is 2154501.

105451200 is a `hidden beast` number, since 1 + 0 + 545 + 120 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (105451183) and next prime (105451217).

It is a super-2 number, since 2×105451200² = 22239911162880000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41980 + ... + 44420.

Almost surely, 2^105451200 is an apocalyptic number.

105451200 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 105451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192283080).

105451200 is an abundant number, since it is smaller than the sum of its proper divisors (279114960).

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

105451200 is a wasteful number, since it uses less digits than its factorization.

105451200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2472 (or 2451 counting only the distinct ones).

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

The square root of 105451200 is about 10268.9434704842. The cubic root of 105451200 is about 472.4441858990. Note that the first 3 decimals are identical.

The spelling of 105451200 in words is "one hundred five million, four hundred fifty-one thousand, two hundred".