106723474000 has 320 divisors, whose sum is σ = 306377390592. Its totient is φ = 35444736000.

The previous prime is 106723473937. The next prime is 106723474007. The reversal of 106723474000 is 474327601.

It is a super-2 number, since 2×106723474000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106723474007) 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 63 ways as a sum of consecutive naturals, for example, 27740077 + ... + 27743923.

Almost surely, 2^106723474000 is an apocalyptic number.

106723474000 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 106723474000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153188695296).

106723474000 is an abundant number, since it is smaller than the sum of its proper divisors (199653916592).

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

106723474000 is a wasteful number, since it uses less digits than its factorization.

106723474000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3991 (or 3975 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

The spelling of 106723474000 in words is "one hundred six billion, seven hundred twenty-three million, four hundred seventy-four thousand".