100816960 has 56 divisors (see below), whose sum is σ = 247838976. Its totient is φ = 39022080.

The previous prime is 100816951. The next prime is 100816993. The reversal of 100816960 is 69618001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4839 + ... + 15001.

It is an arithmetic number, because the mean of its divisors is an integer number (4425696).

Almost surely, 2^100816960 is an apocalyptic number.

100816960 is a gapful number since it is divisible by the number (10) 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 100816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123919488).

100816960 is an abundant number, since it is smaller than the sum of its proper divisors (147022016).

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

100816960 is a wasteful number, since it uses less digits than its factorization.

100816960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10211 (or 10201 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 100816960 is about 10040.7649111011. The cubic root of 100816960 is about 465.4194542526.

The spelling of 100816960 in words is "one hundred million, eight hundred sixteen thousand, nine hundred sixty".