97102944 has 72 divisors (see below), whose sum is σ = 282594312. Its totient is φ = 31610880.

The previous prime is 97102919. The next prime is 97102949. The reversal of 97102944 is 44920179.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-5 number, since 5×97102944⁵ (a number of 41 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 97102899 and 97102908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97102949) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8464 + ... + 16304.

It is an arithmetic number, because the mean of its divisors is an integer number (3924921).

Almost surely, 2^97102944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97102944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141297156).

97102944 is an abundant number, since it is smaller than the sum of its proper divisors (185491368).

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

97102944 is a wasteful number, since it uses less digits than its factorization.

97102944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7900 (or 7889 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 97102944 is about 9854.0826057021. The cubic root of 97102944 is about 459.6325736400.

It can be divided in two parts, 97 and 102944, that added together give a square (103041 = 321²).

The spelling of 97102944 in words is "ninety-seven million, one hundred two thousand, nine hundred forty-four".