106501865472 has 512 divisors, whose sum is σ = 342187070400. Its totient is φ = 32614907904.

The previous prime is 106501865461. The next prime is 106501865497. The reversal of 106501865472 is 274568105601.

106501865472 is a `hidden beast` number, since 10 + 6 + 501 + 8 + 65 + 4 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a super-2 number, since 2×106501865472² (a number of 23 digits) contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1097957328 + ... + 1097957424.

Almost surely, 2^106501865472 is an apocalyptic number.

106501865472 is a gapful number since it is divisible by the number (12) 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 106501865472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171093535200).

106501865472 is an abundant number, since it is smaller than the sum of its proper divisors (235685204928).

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

106501865472 is an frugal number, since it uses more digits than its factorization.

106501865472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 106501865472 in words is "one hundred six billion, five hundred one million, eight hundred sixty-five thousand, four hundred seventy-two".