102100072 has 32 divisors (see below), whose sum is σ = 203025600. Its totient is φ = 48000384.

The previous prime is 102100069. The next prime is 102100073. The reversal of 102100072 is 270001201.

It is not an unprimeable number, because it can be changed into a prime (102100073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18373 + ... + 23275.

It is an arithmetic number, because the mean of its divisors is an integer number (6344550).

Almost surely, 2^102100072 is an apocalyptic number.

It is an amenable number.

102100072 is a deficient number, since it is larger than the sum of its proper divisors (100925528).

102100072 is a wasteful number, since it uses less digits than its factorization.

102100072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5065 (or 5061 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 102100072 is about 10104.4580260398. The cubic root of 102100072 is about 467.3856233105.

Adding to 102100072 its reverse (270001201), we get a palindrome (372101273).

The spelling of 102100072 in words is "one hundred two million, one hundred thousand, seventy-two".