107073371040 has 96 divisors (see below), whose sum is σ = 337793924160. Its totient is φ = 28509487104.

The previous prime is 107073371029. The next prime is 107073371101. The reversal of 107073371040 is 40173370701.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×107073371040² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107073370992 and 107073371010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147072 + ... + 485568.

It is an arithmetic number, because the mean of its divisors is an integer number (3518686710).

Almost surely, 2^107073371040 is an apocalyptic number.

107073371040 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 107073371040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168896962080).

107073371040 is an abundant number, since it is smaller than the sum of its proper divisors (230720553120).

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

107073371040 is a wasteful number, since it uses less digits than its factorization.

107073371040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339174 (or 339166 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 33.

The spelling of 107073371040 in words is "one hundred seven billion, seventy-three million, three hundred seventy-one thousand, forty".