106454400 has 192 divisors, whose sum is σ = 378048720. Its totient is φ = 26173440.

The previous prime is 106454393. The next prime is 106454441. The reversal of 106454400 is 4454601.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×106454400² = 22665078558720000, 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124374 + ... + 125226.

Almost surely, 2^106454400 is an apocalyptic number.

106454400 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 106454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189024360).

106454400 is an abundant number, since it is smaller than the sum of its proper divisors (271594320).

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

106454400 is a wasteful number, since it uses less digits than its factorization.

106454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 106454400 is about 10317.6741565142. The cubic root of 106454400 is about 473.9376442391.

The spelling of 106454400 in words is "one hundred six million, four hundred fifty-four thousand, four hundred".