106452662400 has 1536 divisors, whose sum is σ = 470444889600. Its totient is φ = 23290675200.

The previous prime is 106452662399. The next prime is 106452662413. The reversal of 106452662400 is 4266254601.

106452662400 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 5 + 26 + 624 + 0 + 0 = 666.

It is a super-2 number, since 2×106452662400² (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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2008540774 + ... + 2008540826.

It is an arithmetic number, because the mean of its divisors is an integer number (306279225).

Almost surely, 2^106452662400 is an apocalyptic number.

106452662400 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 106452662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235222444800).

106452662400 is an abundant number, since it is smaller than the sum of its proper divisors (363992227200).

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

106452662400 is an frugal number, since it uses more digits than its factorization.

106452662400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 106452662400 in words is "one hundred six billion, four hundred fifty-two million, six hundred sixty-two thousand, four hundred".