100727424 has 96 divisors (see below), whose sum is σ = 331287840. Its totient is φ = 28776960.

The previous prime is 100727423. The next prime is 100727437. The reversal of 100727424 is 424727001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (100727423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1819 + ... + 14309.

It is an arithmetic number, because the mean of its divisors is an integer number (3450915).

Almost surely, 2^100727424 is an apocalyptic number.

100727424 is a gapful number since it is divisible by the number (14) 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 100727424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165643920).

100727424 is an abundant number, since it is smaller than the sum of its proper divisors (230560416).

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

100727424 is a wasteful number, since it uses less digits than its factorization.

100727424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12518 (or 12503 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 100727424 is about 10036.3052962731. The cubic root of 100727424 is about 465.2816330677.

The spelling of 100727424 in words is "one hundred million, seven hundred twenty-seven thousand, four hundred twenty-four".