100746272 has 48 divisors (see below), whose sum is σ = 217873152. Its totient is φ = 45477120.

The previous prime is 100746263. The next prime is 100746287. The reversal of 100746272 is 272647001.

It is a super-2 number, since 2×100746272² = 20299622643795968, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54353 + ... + 56175.

It is an arithmetic number, because the mean of its divisors is an integer number (4539024).

Almost surely, 2^100746272 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 100746272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108936576).

100746272 is an abundant number, since it is smaller than the sum of its proper divisors (117126880).

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

100746272 is a wasteful number, since it uses less digits than its factorization.

100746272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2001 (or 1993 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 29.

The square root of 100746272 is about 10037.2442433170. The cubic root of 100746272 is about 465.3106522462.

The spelling of 100746272 in words is "one hundred million, seven hundred forty-six thousand, two hundred seventy-two".