106545456000 has 640 divisors, whose sum is σ = 398547864000. Its totient is φ = 28209254400.

The previous prime is 106545455999. The next prime is 106545456007. The reversal of 106545456000 is 654545601.

106545456000 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 4 + 5 + 45 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×106545456000² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106545456007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 296783821 + ... + 296784179.

Almost surely, 2^106545456000 is an apocalyptic number.

106545456000 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 106545456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199273932000).

106545456000 is an abundant number, since it is smaller than the sum of its proper divisors (292002408000).

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

106545456000 is an equidigital number, since it uses as much as digits as its factorization.

106545456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 106545456000 in words is "one hundred six billion, five hundred forty-five million, four hundred fifty-six thousand".