107158673000 has 64 divisors (see below), whose sum is σ = 251037979920. Its totient is φ = 42814464000.

The previous prime is 107158672979. The next prime is 107158673003. The reversal of 107158673000 is 376851701.

It can be written as a sum of positive squares in 8 ways, for example, as 11248299364 + 95910373636 = 106058^2 + 309694^2 .

It is a super-2 number, since 2×107158673000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107158673003) by changing a digit.

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, 820184 + ... + 941816.

Almost surely, 2^107158673000 is an apocalyptic number.

107158673000 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 107158673000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125518989960).

107158673000 is an abundant number, since it is smaller than the sum of its proper divisors (143879306920).

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

107158673000 is a wasteful number, since it uses less digits than its factorization.

107158673000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122535 (or 122521 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 38.

The spelling of 107158673000 in words is "one hundred seven billion, one hundred fifty-eight million, six hundred seventy-three thousand".