100510072 has 32 divisors (see below), whose sum is σ = 203575680. Its totient is φ = 46247040.

The previous prime is 100510037. The next prime is 100510073. The reversal of 100510072 is 270015001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100510073) 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, 37497 + ... + 40087.

It is an arithmetic number, because the mean of its divisors is an integer number (6361740).

Almost surely, 2^100510072 is an apocalyptic number.

It is an amenable number.

100510072 is an abundant number, since it is smaller than the sum of its proper divisors (103065608).

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

100510072 is a wasteful number, since it uses less digits than its factorization.

100510072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2983 (or 2979 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 100510072 is about 10025.4711609979. The cubic root of 100510072 is about 464.9467268526.

Adding to 100510072 its reverse (270015001), we get a palindrome (370525073).

The spelling of 100510072 in words is "one hundred million, five hundred ten thousand, seventy-two".