100487712 has 96 divisors (see below), whose sum is σ = 288223488. Its totient is φ = 30468096.

The previous prime is 100487677. The next prime is 100487743. The reversal of 100487712 is 217784001.

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

It is a self number, because there is not a number n which added to its sum of digits gives 100487712.

It is an unprimeable number.

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, 90553 + ... + 91655.

It is an arithmetic number, because the mean of its divisors is an integer number (3002328).

Almost surely, 2^100487712 is an apocalyptic number.

100487712 is a gapful number since it is divisible by the number (12) 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 100487712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144111744).

100487712 is an abundant number, since it is smaller than the sum of its proper divisors (187735776).

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

100487712 is a wasteful number, since it uses less digits than its factorization.

100487712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 100487712 is about 10024.3559394108. The cubic root of 100487712 is about 464.9122461296.

The spelling of 100487712 in words is "one hundred million, four hundred eighty-seven thousand, seven hundred twelve".