100116672 has 112 divisors (see below), whose sum is σ = 288401760. Its totient is φ = 30523392.

The previous prime is 100116659. The next prime is 100116697. The reversal of 100116672 is 276611001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120354 + ... + 121182.

Almost surely, 2^100116672 is an apocalyptic number.

100116672 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 100116672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144200880).

100116672 is an abundant number, since it is smaller than the sum of its proper divisors (188285088).

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

100116672 is a wasteful number, since it uses less digits than its factorization.

100116672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 100116672 is about 10005.8318994474. The cubic root of 100116672 is about 464.3393276876.

Adding to 100116672 its reverse (276611001), we get a palindrome (376727673).

The spelling of 100116672 in words is "one hundred million, one hundred sixteen thousand, six hundred seventy-two".