105468000 has 384 divisors, whose sum is σ = 407586816. Its totient is φ = 23552000.

The previous prime is 105467977. The next prime is 105468001. The reversal of 105468000 is 864501.

It is a super-2 number, since 2×105468000² = 22246998048000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105468001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2243977 + ... + 2244023.

It is an arithmetic number, because the mean of its divisors is an integer number (1061424).

Almost surely, 2^105468000 is an apocalyptic number.

105468000 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 105468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203793408).

105468000 is an abundant number, since it is smaller than the sum of its proper divisors (302118816).

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

105468000 is a wasteful number, since it uses less digits than its factorization.

105468000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 105468000 is about 10269.7614383198. The cubic root of 105468000 is about 472.4692737781.

The spelling of 105468000 in words is "one hundred five million, four hundred sixty-eight thousand".