101474208000 has 720 divisors, whose sum is σ = 412061569920. Its totient is φ = 24592896000.

The previous prime is 101474207981. The next prime is 101474208013. The reversal of 101474208000 is 802474101.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28510221 + ... + 28513779.

It is an arithmetic number, because the mean of its divisors is an integer number (572307736).

Almost surely, 2^101474208000 is an apocalyptic number.

101474208000 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 101474208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206030784960).

101474208000 is an abundant number, since it is smaller than the sum of its proper divisors (310587361920).

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

101474208000 is an equidigital number, since it uses as much as digits as its factorization.

101474208000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3613 (or 3580 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 101474208000 in words is "one hundred one billion, four hundred seventy-four million, two hundred eight thousand".