101224728 has 120 divisors (see below), whose sum is σ = 311882340. Its totient is φ = 30650400.

The previous prime is 101224693. The next prime is 101224729. The reversal of 101224728 is 827422101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101224729) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 77763 + ... + 79053.

Almost surely, 2^101224728 is an apocalyptic number.

101224728 is a gapful number since it is divisible by the number (18) 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 101224728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155941170).

101224728 is an abundant number, since it is smaller than the sum of its proper divisors (210657612).

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

101224728 is a wasteful number, since it uses less digits than its factorization.

101224728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 101224728 is about 10061.0500446027. The cubic root of 101224728 is about 466.0460944046.

Adding to 101224728 its reverse (827422101), we get a palindrome (928646829).

The spelling of 101224728 in words is "one hundred one million, two hundred twenty-four thousand, seven hundred twenty-eight".