101673273600 has 1080 divisors, whose sum is σ = 405739968480. Its totient is φ = 25029181440.

The previous prime is 101673273593. The next prime is 101673273601. The reversal of 101673273600 is 6372376101.

101673273600 is a `hidden beast` number, since 1 + 0 + 16 + 7 + 32 + 7 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is not an unprimeable number, because it can be changed into a prime (101673273601) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 731462331 + ... + 731462469.

It is an arithmetic number, because the mean of its divisors is an integer number (375685156).

Almost surely, 2^101673273600 is an apocalyptic number.

101673273600 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 101673273600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202869984240).

101673273600 is an abundant number, since it is smaller than the sum of its proper divisors (304066694880).

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

101673273600 is a wasteful number, since it uses less digits than its factorization.

101673273600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 101673273600 in words is "one hundred one billion, six hundred seventy-three million, two hundred seventy-three thousand, six hundred".