100827072 has 224 divisors, whose sum is σ = 324307200. Its totient is φ = 30606336.

The previous prime is 100827061. The next prime is 100827137. The reversal of 100827072 is 270728001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1214743 + ... + 1214825.

It is an arithmetic number, because the mean of its divisors is an integer number (1447800).

Almost surely, 2^100827072 is an apocalyptic number.

100827072 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 100827072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162153600).

100827072 is an abundant number, since it is smaller than the sum of its proper divisors (223480128).

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

100827072 is a wasteful number, since it uses less digits than its factorization.

100827072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 100827072 is about 10041.2684457692. The cubic root of 100827072 is about 465.4350143468.

The spelling of 100827072 in words is "one hundred million, eight hundred twenty-seven thousand, seventy-two".