100471680 has 96 divisors (see below), whose sum is σ = 346961160. Its totient is φ = 26790912.

The previous prime is 100471667. The next prime is 100471691. The reversal of 100471680 is 86174001.

100471680 = T₂₀₉ + T₂₁₀ + ... + T₈₄₈.

It is a happy number.

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 2962 + ... + 14481.

Almost surely, 2^100471680 is an apocalyptic number.

100471680 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 100471680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173480580).

100471680 is an abundant number, since it is smaller than the sum of its proper divisors (246489480).

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

100471680 is a wasteful number, since it uses less digits than its factorization.

100471680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17468 (or 17453 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 100471680 is about 10023.5562551422. The cubic root of 100471680 is about 464.8875204877.

The spelling of 100471680 in words is "one hundred million, four hundred seventy-one thousand, six hundred eighty".