85562100100 has 27 divisors (see below), whose sum is σ = 185676104901. Its totient is φ = 34223670000.

The previous prime is 85562100097. The next prime is 85562100137. The reversal of 85562100100 is 100126558.

The square root of 85562100100 is 292510.

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., 30802356036 + 54759744064 = 175506^2 + 234008^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2910475 + ... + 2939725.

Almost surely, 2^85562100100 is an apocalyptic number.

85562100100 is the 292510-th square number.

It is an amenable number.

85562100100 is an abundant number, since it is smaller than the sum of its proper divisors (100114004801).

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

85562100100 is an frugal number, since it uses more digits than its factorization.

85562100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58516 (or 29258 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

Adding to 85562100100 its reverse (100126558), we get a palindrome (85662226658).

The spelling of 85562100100 in words is "eighty-five billion, five hundred sixty-two million, one hundred thousand, one hundred".