100098432 has 96 divisors (see below), whose sum is σ = 329219280. Its totient is φ = 28597248.

The previous prime is 100098421. The next prime is 100098443. The reversal of 100098432 is 234890001.

It is an interprime number because it is at equal distance from previous prime (100098421) and next prime (100098443).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 100098396 and 100098405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1858 + ... + 14270.

Almost surely, 2^100098432 is an apocalyptic number.

100098432 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 100098432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164609640).

100098432 is an abundant number, since it is smaller than the sum of its proper divisors (229120848).

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

100098432 is a wasteful number, since it uses less digits than its factorization.

100098432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12440 (or 12425 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 100098432 is about 10004.9203894884. The cubic root of 100098432 is about 464.3111270441.

The spelling of 100098432 in words is "one hundred million, ninety-eight thousand, four hundred thirty-two".