100167672 has 96 divisors (see below), whose sum is σ = 291589200. Its totient is φ = 28554240.

The previous prime is 100167671. The next prime is 100167679. The reversal of 100167672 is 276761001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100167671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48354 + ... + 50382.

Almost surely, 2^100167672 is an apocalyptic number.

100167672 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 100167672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145794600).

100167672 is an abundant number, since it is smaller than the sum of its proper divisors (191421528).

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

100167672 is a wasteful number, since it uses less digits than its factorization.

100167672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2077 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 100167672 is about 10008.3800887057. The cubic root of 100167672 is about 464.4181599981.

The spelling of 100167672 in words is "one hundred million, one hundred sixty-seven thousand, six hundred seventy-two".