100516000 has 96 divisors (see below), whose sum is σ = 266102928. Its totient is φ = 37094400.

The previous prime is 100515971. The next prime is 100516007. The reversal of 100516000 is 615001.

It can be written as a sum of positive squares in 8 ways, for example, as 595984 + 99920016 = 772^2 + 9996^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (100516007) 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, 51034 + ... + 52966.

Almost surely, 2^100516000 is an apocalyptic number.

100516000 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 100516000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133051464).

100516000 is an abundant number, since it is smaller than the sum of its proper divisors (165586928).

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

100516000 is a wasteful number, since it uses less digits than its factorization.

100516000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971 (or 1953 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 100516000 is about 10025.7668035916. The cubic root of 100516000 is about 464.9558673959.

Subtracting from 100516000 its reverse (615001), we obtain a palindrome (99900999).

The spelling of 100516000 in words is "one hundred million, five hundred sixteen thousand".