100160640 has 96 divisors (see below), whose sum is σ = 345887100. Its totient is φ = 26707968.

The previous prime is 100160629. The next prime is 100160677. The reversal of 100160640 is 46061001.

100160640 is a `hidden beast` number, since 10 + 0 + 16 + 0 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 100160064 + 576 = 10008^2 + 24^2 .

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 (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2935 + ... + 14454.

Almost surely, 2^100160640 is an apocalyptic number.

100160640 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 100160640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172943550).

100160640 is an abundant number, since it is smaller than the sum of its proper divisors (245726460).

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

100160640 is a wasteful number, since it uses less digits than its factorization.

100160640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17414 (or 17399 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 100160640 is about 10008.0287769370. The cubic root of 100160640 is about 464.4072920043.

The spelling of 100160640 in words is "one hundred million, one hundred sixty thousand, six hundred forty".