106560271104 has 288 divisors, whose sum is σ = 330711220224. Its totient is φ = 29832990720.

The previous prime is 106560271091. The next prime is 106560271121. The reversal of 106560271104 is 401172065601.

It is a super-2 number, since 2×106560271104² (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, 58452337 + ... + 58454159.

It is an arithmetic number, because the mean of its divisors is an integer number (1148302848).

Almost surely, 2^106560271104 is an apocalyptic number.

106560271104 is a gapful number since it is divisible by the number (14) 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 106560271104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165355610112).

106560271104 is an abundant number, since it is smaller than the sum of its proper divisors (224150949120).

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

106560271104 is a wasteful number, since it uses less digits than its factorization.

106560271104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2063 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 106560271104 in words is "one hundred six billion, five hundred sixty million, two hundred seventy-one thousand, one hundred four".