100160672 has 48 divisors (see below), whose sum is σ = 203915880. Its totient is φ = 48402432.

The previous prime is 100160629. The next prime is 100160677. The reversal of 100160672 is 276061001.

It can be written as a sum of positive squares in 4 ways, for example, as 100080016 + 80656 = 10004^2 + 284^2 .

It is not an unprimeable number, because it can be changed into a prime (100160677) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123404 + ... + 124212.

Almost surely, 2^100160672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100160672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101957940).

100160672 is an abundant number, since it is smaller than the sum of its proper divisors (103755208).

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

100160672 is an equidigital number, since it uses as much as digits as its factorization.

100160672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 100160672 is about 10008.0303756533. The cubic root of 100160672 is about 464.4073414616.

The spelling of 100160672 in words is "one hundred million, one hundred sixty thousand, six hundred seventy-two".