100284660 has 288 divisors, whose sum is σ = 377395200. Its totient is φ = 21047040.

The previous prime is 100284637. The next prime is 100284757. The reversal of 100284660 is 66482001.

It is a super-4 number, since 4×100284660⁴ (a number of 33 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1412425 + ... + 1412495.

It is an arithmetic number, because the mean of its divisors is an integer number (1310400).

Almost surely, 2^100284660 is an apocalyptic number.

100284660 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 100284660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188697600).

100284660 is an abundant number, since it is smaller than the sum of its proper divisors (277110540).

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

100284660 is a wasteful number, since it uses less digits than its factorization.

100284660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 100284660 is about 10014.2228854764. Note that the first 3 decimals coincide. The cubic root of 100284660 is about 464.5988910089.

The spelling of 100284660 in words is "one hundred million, two hundred eighty-four thousand, six hundred sixty".