101845673000 has 64 divisors (see below), whose sum is σ = 240678706320. Its totient is φ = 40334880000.

The previous prime is 101845672969. The next prime is 101845673023. The reversal of 101845673000 is 376548101.

It can be written as a sum of positive squares in 8 ways, for example, as 19130762596 + 82714910404 = 138314^2 + 287602^2 .

It is a super-2 number, since 2×101845673000² (a number of 23 digits) contains 22 as substring.

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, 403187 + ... + 605186.

Almost surely, 2^101845673000 is an apocalyptic number.

101845673000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101845673000 is an abundant number, since it is smaller than the sum of its proper divisors (138833033320).

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

101845673000 is a wasteful number, since it uses less digits than its factorization.

101845673000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008495 (or 1008481 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The spelling of 101845673000 in words is "one hundred one billion, eight hundred forty-five million, six hundred seventy-three thousand".