100516896 has 96 divisors (see below), whose sum is σ = 294900480. Its totient is φ = 33308928.

The previous prime is 100516891. The next prime is 100516921. The reversal of 100516896 is 698615001.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 100516896.

It is not an unprimeable number, because it can be changed into a prime (100516891) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 273705 + ... + 274071.

It is an arithmetic number, because the mean of its divisors is an integer number (3071880).

Almost surely, 2^100516896 is an apocalyptic number.

100516896 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 100516896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147450240).

100516896 is an abundant number, since it is smaller than the sum of its proper divisors (194383584).

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

100516896 is a wasteful number, since it uses less digits than its factorization.

100516896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 100516896 is about 10025.8114883534. The cubic root of 100516896 is about 464.9572489313.

The spelling of 100516896 in words is "one hundred million, five hundred sixteen thousand, eight hundred ninety-six".