100101072 has 40 divisors (see below), whose sum is σ = 258964576. Its totient is φ = 33319296.

The previous prime is 100101041. The next prime is 100101073. The reversal of 100101072 is 270101001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101073) 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 7 ways as a sum of consecutive naturals, for example, 52683 + ... + 54549.

Almost surely, 2^100101072 is an apocalyptic number.

100101072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100101072 is an abundant number, since it is smaller than the sum of its proper divisors (158863504).

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

100101072 is a wasteful number, since it uses less digits than its factorization.

100101072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2995 (or 2989 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 12.

The square root of 100101072 is about 10005.0523237013. The cubic root of 100101072 is about 464.3152089282.

Adding to 100101072 its reverse (270101001), we get a palindrome (370202073).

The spelling of 100101072 in words is "one hundred million, one hundred one thousand, seventy-two".