106452864 has 192 divisors, whose sum is σ = 359399040. Its totient is φ = 29611008.

The previous prime is 106452859. The next prime is 106452887. The reversal of 106452864 is 468254601.

106452864 is a `hidden beast` number, since 1 + 0 + 645 + 2 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×106452864² = 22664424507604992, which 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 346599 + ... + 346905.

It is an arithmetic number, because the mean of its divisors is an integer number (1871870).

Almost surely, 2^106452864 is an apocalyptic number.

106452864 is a gapful number since it is divisible by the number (14) 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 106452864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179699520).

106452864 is an abundant number, since it is smaller than the sum of its proper divisors (252946176).

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

106452864 is a wasteful number, since it uses less digits than its factorization.

106452864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 106452864 is about 10317.5997208653. The cubic root of 106452864 is about 473.9353647913.

The spelling of 106452864 in words is "one hundred six million, four hundred fifty-two thousand, eight hundred sixty-four".