97100928 has 96 divisors (see below), whose sum is σ = 288537600. Its totient is φ = 31311360.

The previous prime is 97100879. The next prime is 97100933. The reversal of 97100928 is 82900179.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×97100928² = 18857180436922368, which contains 22 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 = 97100892 and 97100901.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34353 + ... + 37071.

It is an arithmetic number, because the mean of its divisors is an integer number (3005600).

Almost surely, 2^97100928 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 97100928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144268800).

97100928 is an abundant number, since it is smaller than the sum of its proper divisors (191436672).

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

97100928 is a wasteful number, since it uses less digits than its factorization.

97100928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2770 (or 2755 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 97100928 is about 9853.9803125438. The cubic root of 97100928 is about 459.6293927351.

It can be divided in two parts, 97 and 100928, that added together give a triangular number (101025 = T₄₄₉).

The spelling of 97100928 in words is "ninety-seven million, one hundred thousand, nine hundred twenty-eight".