100694272 has 72 divisors (see below), whose sum is σ = 232819776. Its totient is φ = 42571776.

The previous prime is 100694267. The next prime is 100694287. The reversal of 100694272 is 272496001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148398 + ... + 149074.

It is an arithmetic number, because the mean of its divisors is an integer number (3233608).

Almost surely, 2^100694272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100694272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116409888).

100694272 is an abundant number, since it is smaller than the sum of its proper divisors (132125504).

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

100694272 is an frugal number, since it uses more digits than its factorization.

100694272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 100694272 is about 10034.6535565509. The cubic root of 100694272 is about 465.2305820608.

It can be divided in two parts, 10069 and 4272, that added together give a palindrome (14341).

The spelling of 100694272 in words is "one hundred million, six hundred ninety-four thousand, two hundred seventy-two".