105197606080 has 280 divisors, whose sum is σ = 304991792352. Its totient is φ = 34493792256.

The previous prime is 105197606077. The next prime is 105197606083. The reversal of 105197606080 is 80606791501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105197606077) and next prime (105197606083).

It is a tau number, because it is divible by the number of its divisors (280).

It is a super-2 number, since 2×105197606080² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105197606083) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17668384 + ... + 17674336.

Almost surely, 2^105197606080 is an apocalyptic number.

105197606080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105197606080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152495896176).

105197606080 is an abundant number, since it is smaller than the sum of its proper divisors (199794186272).

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

105197606080 is an frugal number, since it uses more digits than its factorization.

105197606080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6021 (or 5990 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 43.

The spelling of 105197606080 in words is "one hundred five billion, one hundred ninety-seven million, six hundred six thousand, eighty".