100102080 has 168 divisors, whose sum is σ = 344710512. Its totient is φ = 24600576.

The previous prime is 100102073. The next prime is 100102081. The reversal of 100102080 is 80201001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161932 + ... + 162548.

Almost surely, 2^100102080 is an apocalyptic number.

100102080 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 100102080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172355256).

100102080 is an abundant number, since it is smaller than the sum of its proper divisors (244608432).

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

100102080 is a wasteful number, since it uses less digits than its factorization.

100102080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 100102080 is about 10005.1026981236. The cubic root of 100102080 is about 464.3167674468.

Adding to 100102080 its reverse (80201001), we get a palindrome (180303081).

It can be divided in two parts, 10010 and 2080, that added together give a triangular number (12090 = T₁₅₅).

The spelling of 100102080 in words is "one hundred million, one hundred two thousand, eighty".