100464 has 80 divisors (see below), whose sum is σ = 333312. Its totient is φ = 25344.

The previous prime is 100459. The next prime is 100469. The reversal of 100464 is 464001.

It is an interprime number because it is at equal distance from previous prime (100459) and next prime (100469).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4357 + ... + 4379.

2¹⁰⁰⁴⁶⁴ is an apocalyptic number.

100464 is a gapful number since it is divisible by the number (14) 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 100464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166656).

100464 is an abundant number, since it is smaller than the sum of its proper divisors (232848).

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

100464 is a wasteful number, since it uses less digits than its factorization.

100464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 48 counting only the distinct ones).

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

The square root of 100464 is about 316.9605653705. The cubic root of 100464 is about 46.4875674937.

Adding to 100464 its reverse (464001), we get a palindrome (564465).

The spelling of 100464 in words is "one hundred thousand, four hundred sixty-four".