100053856 has 48 divisors (see below), whose sum is σ = 226243584. Its totient is φ = 42666624.

The previous prime is 100053853. The next prime is 100053859. The reversal of 100053856 is 658350001.

It is an interprime number because it is at equal distance from previous prime (100053853) and next prime (100053859).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100053853) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48951 + ... + 50953.

It is an arithmetic number, because the mean of its divisors is an integer number (4713408).

Almost surely, 2^100053856 is an apocalyptic number.

100053856 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 100053856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113121792).

100053856 is an abundant number, since it is smaller than the sum of its proper divisors (126189728).

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

100053856 is a wasteful number, since it uses less digits than its factorization.

100053856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2243 (or 2235 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 100053856 is about 10002.6924375390. The cubic root of 100053856 is about 464.2421942098.

It can be divided in two parts, 10005 and 3856, that added together give a triangular number (13861 = T₁₆₆).

The spelling of 100053856 in words is "one hundred million, fifty-three thousand, eight hundred fifty-six".