88203060100 has 81 divisors (see below), whose sum is σ = 203438237583. Its totient is φ = 33186850560.

The previous prime is 88203060089. The next prime is 88203060103. The reversal of 88203060100 is 106030288.

The square root of 88203060100 is 296990.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2063158084 + 86139902016 = 45422^2 + 293496^2 .

It is a super-2 number, since 2×88203060100² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (88203060103) 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, 50487427 + ... + 50489173.

Almost surely, 2^88203060100 is an apocalyptic number.

88203060100 is the 296990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88203060100

88203060100 is an abundant number, since it is smaller than the sum of its proper divisors (115235177483).

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

88203060100 is a wasteful number, since it uses less digits than its factorization.

88203060100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3542 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Multiplying 88203060100 by its product of nonzero digits (2304), we get a square (203219850470400 = 14255520²).

Adding to 88203060100 its reverse (106030288), we get a palindrome (88309090388).

The spelling of 88203060100 in words is "eighty-eight billion, two hundred three million, sixty thousand, one hundred".