100854432 has 144 divisors (see below), whose sum is σ = 345159360. Its totient is φ = 27288576.

The previous prime is 100854427. The next prime is 100854449. The reversal of 100854432 is 234458001.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 100854396 and 100854405.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36988 + ... + 39620.

It is an arithmetic number, because the mean of its divisors is an integer number (2396940).

Almost surely, 2^100854432 is an apocalyptic number.

100854432 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 100854432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172579680).

100854432 is an abundant number, since it is smaller than the sum of its proper divisors (244304928).

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

100854432 is a wasteful number, since it uses less digits than its factorization.

100854432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2675 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 100854432 is about 10042.6307310386. The cubic root of 100854432 is about 465.4771100197.

The spelling of 100854432 in words is "one hundred million, eight hundred fifty-four thousand, four hundred thirty-two".