100246272 has 144 divisors (see below), whose sum is σ = 315920640. Its totient is φ = 27611136.

The previous prime is 100246247. The next prime is 100246273. The reversal of 100246272 is 272642001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (100246273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155583 + ... + 156225.

Almost surely, 2^100246272 is an apocalyptic number.

100246272 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 100246272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157960320).

100246272 is an abundant number, since it is smaller than the sum of its proper divisors (215674368).

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

100246272 is an equidigital number, since it uses as much as digits as its factorization.

100246272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 100246272 is about 10012.3060280836. The cubic root of 100246272 is about 464.5396021193.

Adding to 100246272 its reverse (272642001), we get a palindrome (372888273).

It can be divided in two parts, 1002 and 46272, that added together give a palindrome (47274).

The spelling of 100246272 in words is "one hundred million, two hundred forty-six thousand, two hundred seventy-two".