100519272 has 128 divisors (see below), whose sum is σ = 336000000. Its totient is φ = 27200448.

The previous prime is 100519261. The next prime is 100519273. The reversal of 100519272 is 272915001.

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

It is not an unprimeable number, because it can be changed into a prime (100519273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26979 + ... + 30477.

It is an arithmetic number, because the mean of its divisors is an integer number (2625000).

Almost surely, 2^100519272 is an apocalyptic number.

100519272 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 100519272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168000000).

100519272 is an abundant number, since it is smaller than the sum of its proper divisors (235480728).

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

100519272 is a wasteful number, since it uses less digits than its factorization.

100519272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3540 (or 3530 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 100519272 is about 10025.9299818022. The cubic root of 100519272 is about 464.9609124272.

The spelling of 100519272 in words is "one hundred million, five hundred nineteen thousand, two hundred seventy-two".