97138188900 has 135 divisors (see below), whose sum is σ = 314974587081. Its totient is φ = 25896036960.

The previous prime is 97138188881. The next prime is 97138188911. The reversal of 97138188900 is 988183179.

The square root of 97138188900 is 311670.

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., 34969748004 + 62168440896 = 187002^2 + 249336^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 28048569 + ... + 28052031.

Almost surely, 2^97138188900 is an apocalyptic number.

97138188900 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

97138188900 is the 311670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97138188900

97138188900 is an abundant number, since it is smaller than the sum of its proper divisors (217836398181).

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

97138188900 is an equidigital number, since it uses as much as digits as its factorization.

97138188900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6952 (or 3473 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 54.

The spelling of 97138188900 in words is "ninety-seven billion, one hundred thirty-eight million, one hundred eighty-eight thousand, nine hundred".