105337270080 has 336 divisors, whose sum is σ = 414454360320. Its totient is φ = 24055087104.

The previous prime is 105337270037. The next prime is 105337270099. The reversal of 105337270080 is 80072733501.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×105337270080² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34209981 + ... + 34213059.

It is an arithmetic number, because the mean of its divisors is an integer number (1233495120).

Almost surely, 2^105337270080 is an apocalyptic number.

105337270080 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 105337270080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207227180160).

105337270080 is an abundant number, since it is smaller than the sum of its proper divisors (309117090240).

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

105337270080 is a wasteful number, since it uses less digits than its factorization.

105337270080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4806 (or 4793 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 105337270080 in words is "one hundred five billion, three hundred thirty-seven million, two hundred seventy thousand, eighty".