105154400 has 72 divisors (see below), whose sum is σ = 276482304. Its totient is φ = 38822400.

The previous prime is 105154373. The next prime is 105154403. The reversal of 105154400 is 4451501.

It is a super-2 number, since 2×105154400² = 22114895678720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105154403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5345 + ... + 15455.

It is an arithmetic number, because the mean of its divisors is an integer number (3840032).

Almost surely, 2^105154400 is an apocalyptic number.

105154400 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 105154400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138241152).

105154400 is an abundant number, since it is smaller than the sum of its proper divisors (171327904).

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

105154400 is a wasteful number, since it uses less digits than its factorization.

105154400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10144 (or 10131 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 105154400 is about 10254.4819469342. The cubic root of 105154400 is about 472.0005266680. Note that the first 3 decimals are identical.

The spelling of 105154400 in words is "one hundred five million, one hundred fifty-four thousand, four hundred".