108461400 has 96 divisors (see below), whose sum is σ = 344509200. Its totient is φ = 28211200.

The previous prime is 108461389. The next prime is 108461401. The reversal of 108461400 is 4164801.

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 (108461401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22396 + ... + 26804.

Almost surely, 2^108461400 is an apocalyptic number.

108461400 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 108461400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172254600).

108461400 is an abundant number, since it is smaller than the sum of its proper divisors (236047800).

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

108461400 is a wasteful number, since it uses less digits than its factorization.

108461400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4469 (or 4460 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 108461400 is about 10414.4803038846. The cubic root of 108461400 is about 476.8975251125.

It can be divided in two parts, 10846 and 1400, that added together give a triangular number (12246 = T₁₅₆).

The spelling of 108461400 in words is "one hundred eight million, four hundred sixty-one thousand, four hundred".