100853424 has 100 divisors (see below), whose sum is σ = 333628944. Its totient is φ = 28812672.

The previous prime is 100853419. The next prime is 100853461. The reversal of 100853424 is 424358001.

100853424 is a `hidden beast` number, since 100 + 8 + 534 + 24 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3514 + ... + 14630.

Almost surely, 2^100853424 is an apocalyptic number.

100853424 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 100853424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166814472).

100853424 is an abundant number, since it is smaller than the sum of its proper divisors (232775520).

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

100853424 is a wasteful number, since it uses less digits than its factorization.

100853424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11144 (or 11129 counting only the distinct ones).

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

The square root of 100853424 is about 10042.5805448600. The cubic root of 100853424 is about 465.4755592615.

The spelling of 100853424 in words is "one hundred million, eight hundred fifty-three thousand, four hundred twenty-four".