105371105572080 has 480 divisors, whose sum is σ = 375960584982528. Its totient is φ = 26409380659200.

The previous prime is 105371105572067. The next prime is 105371105572081. The reversal of 105371105572080 is 80275501173501.

105371105572080 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 7 + 1 + 10 + 557 + 2 + 0 + 80 = 666.

It is a super-2 number, since 2×105371105572080² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105371105572081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 105680032 + ... + 106672448.

Almost surely, 2^{105371105572080} is an apocalyptic number.

105371105572080 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 105371105572080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187980292491264).

105371105572080 is an abundant number, since it is smaller than the sum of its proper divisors (270589479410448).

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

105371105572080 is a wasteful number, since it uses less digits than its factorization.

105371105572080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992605 (or 992596 counting only the distinct ones).

The product of its (nonzero) digits is 294000, while the sum is 45.

The spelling of 105371105572080 in words is "one hundred five trillion, three hundred seventy-one billion, one hundred five million, five hundred seventy-two thousand, eighty".