100467432 has 128 divisors (see below), whose sum is σ = 308985600. Its totient is φ = 30046464.

The previous prime is 100467431. The next prime is 100467449. The reversal of 100467432 is 234764001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 100467396 and 100467405.

It is not an unprimeable number, because it can be changed into a prime (100467431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103413 + ... + 104379.

It is an arithmetic number, because the mean of its divisors is an integer number (2413950).

Almost surely, 2^100467432 is an apocalyptic number.

100467432 is a gapful number since it is divisible by the number (12) 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 100467432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154492800).

100467432 is an abundant number, since it is smaller than the sum of its proper divisors (208518168).

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

100467432 is a wasteful number, since it uses less digits than its factorization.

100467432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 100467432 is about 10023.3443520613. The cubic root of 100467432 is about 464.8809684921.

It can be divided in two parts, 100467 and 432, that multiplied together give a square (43401744 = 6588²).

The spelling of 100467432 in words is "one hundred million, four hundred sixty-seven thousand, four hundred thirty-two".