101452006656 has 1728 divisors, whose sum is σ = 428699729920. Its totient is φ = 22992076800.

The previous prime is 101452006637. The next prime is 101452006657. The reversal of 101452006656 is 656600254101.

101452006656 is a `hidden beast` number, since 10 + 14 + 520 + 0 + 66 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a self number, because there is not a number n which added to its sum of digits gives 101452006656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101452006657) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2359348971 + ... + 2359349013.

Almost surely, 2^101452006656 is an apocalyptic number.

101452006656 is a gapful number since it is divisible by the number (16) 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 101452006656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214349864960).

101452006656 is an abundant number, since it is smaller than the sum of its proper divisors (327247723264).

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

101452006656 is a wasteful number, since it uses less digits than its factorization.

101452006656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 110 counting only the distinct ones).

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

The spelling of 101452006656 in words is "one hundred one billion, four hundred fifty-two million, six thousand, six hundred fifty-six".