100853376 has 128 divisors (see below), whose sum is σ = 293025600. Its totient is φ = 30547968.

The previous prime is 100853341. The next prime is 100853393. The reversal of 100853376 is 673358001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 444175 + ... + 444401.

Almost surely, 2^100853376 is an apocalyptic number.

100853376 is a gapful number since it is divisible by the number (16) 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 100853376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146512800).

100853376 is an abundant number, since it is smaller than the sum of its proper divisors (192172224).

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

100853376 is a wasteful number, since it uses less digits than its factorization.

100853376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 100853376 is about 10042.5781550357. The cubic root of 100853376 is about 465.4754854157.

The spelling of 100853376 in words is "one hundred million, eight hundred fifty-three thousand, three hundred seventy-six".