106452561600 has 2016 divisors, whose sum is σ = 515707944960. Its totient is φ = 20155392000.

The previous prime is 106452561557. The next prime is 106452561617. The reversal of 106452561600 is 6165254601.

106452561600 is a `hidden beast` number, since 1 + 0 + 6 + 45 + 2 + 5 + 6 + 1 + 600 = 666.

106452561600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×106452561600² (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 an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 653083119 + ... + 653083281.

Almost surely, 2^106452561600 is an apocalyptic number.

106452561600 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 106452561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257853972480).

106452561600 is an abundant number, since it is smaller than the sum of its proper divisors (409255383360).

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

106452561600 is a wasteful number, since it uses less digits than its factorization.

106452561600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 106452561600 in words is "one hundred six billion, four hundred fifty-two million, five hundred sixty-one thousand, six hundred".