100464000 has 512 divisors, whose sum is σ = 427714560. Its totient is φ = 20275200.

The previous prime is 100463989. The next prime is 100464029. The reversal of 100464000 is 464001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4367989 + ... + 4368011.

It is an arithmetic number, because the mean of its divisors is an integer number (835380).

Almost surely, 2^100464000 is an apocalyptic number.

100464000 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 100464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213857280).

100464000 is an abundant number, since it is smaller than the sum of its proper divisors (327250560).

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

100464000 is a wasteful number, since it uses less digits than its factorization.

100464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 100464000 is about 10023.1731502554. The cubic root of 100464000 is about 464.8756749371.

Subtracting from 100464000 its reverse (464001), we obtain a palindrome (99999999).

The spelling of 100464000 in words is "one hundred million, four hundred sixty-four thousand".