100125216 has 72 divisors (see below), whose sum is σ = 286191360. Its totient is φ = 33204096.

The previous prime is 100125203. The next prime is 100125229. The reversal of 100125216 is 612521001.

It is an interprime number because it is at equal distance from previous prime (100125203) and next prime (100125229).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63445 + ... + 65003.

It is an arithmetic number, because the mean of its divisors is an integer number (3974880).

Almost surely, 2^100125216 is an apocalyptic number.

100125216 is a gapful number since it is divisible by the number (16) 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 100125216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143095680).

100125216 is an abundant number, since it is smaller than the sum of its proper divisors (186066144).

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

100125216 is a wasteful number, since it uses less digits than its factorization.

100125216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1798 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 100125216 is about 10006.2588413453. The cubic root of 100125216 is about 464.3525362847.

Adding to 100125216 its reverse (612521001), we get a palindrome (712646217).

It can be divided in two parts, 100 and 125216, that added together give a square (125316 = 354²).

The spelling of 100125216 in words is "one hundred million, one hundred twenty-five thousand, two hundred sixteen".