97961100105 has 32 divisors (see below), whose sum is σ = 171025545600. Its totient is φ = 47485486080.

The previous prime is 97961100091. The next prime is 97961100143. The reversal of 97961100105 is 50100116979.

It is not a de Polignac number, because 97961100105 - 2⁴ = 97961100089 is a prime.

It is a super-2 number, since 2×97961100105² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 685329 + ... + 815841.

It is an arithmetic number, because the mean of its divisors is an integer number (5344548300).

Almost surely, 2^97961100105 is an apocalyptic number.

It is an amenable number.

97961100105 is a deficient number, since it is larger than the sum of its proper divisors (73064445495).

97961100105 is a wasteful number, since it uses less digits than its factorization.

97961100105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135081.

The product of its (nonzero) digits is 17010, while the sum is 39.

The spelling of 97961100105 in words is "ninety-seven billion, nine hundred sixty-one million, one hundred thousand, one hundred five".