902139036100 has 81 divisors (see below), whose sum is σ = 2066511697677. Its totient is φ = 341794827360.

The previous prime is 902139036077. The next prime is 902139036101. The reversal of 902139036100 is 1630931209.

The square root of 902139036100 is 949810.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 324770052996 + 577368983104 = 569886^2 + 759848^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (902139036101) 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 26 ways as a sum of consecutive naturals, for example, 180461401 + ... + 180466399.

Almost surely, 2^902139036100 is an apocalyptic number.

902139036100 is the 949810-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 902139036100

902139036100 is an abundant number, since it is smaller than the sum of its proper divisors (1164372661577).

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

902139036100 is an equidigital number, since it uses as much as digits as its factorization.

902139036100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10050 (or 5025 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 34.

Adding to 902139036100 its reverse (1630931209), we get a palindrome (903769967309).

The spelling of 902139036100 in words is "nine hundred two billion, one hundred thirty-nine million, thirty-six thousand, one hundred".