100662912 has 320 divisors, whose sum is σ = 365323200. Its totient is φ = 26873856.

The previous prime is 100662907. The next prime is 100662929. The reversal of 100662912 is 219266001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1378908 + ... + 1378980.

It is an arithmetic number, because the mean of its divisors is an integer number (1141635).

Almost surely, 2^100662912 is an apocalyptic number.

100662912 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 100662912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182661600).

100662912 is an abundant number, since it is smaller than the sum of its proper divisors (264660288).

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

100662912 is an equidigital number, since it uses as much as digits as its factorization.

100662912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 100662912 is about 10033.0908497830. The cubic root of 100662912 is about 465.1822802537.

The spelling of 100662912 in words is "one hundred million, six hundred sixty-two thousand, nine hundred twelve".