106536720960 has 336 divisors, whose sum is σ = 400020129600. Its totient is φ = 26914166784.

The previous prime is 106536720959. The next prime is 106536720973. The reversal of 106536720960 is 69027635601.

106536720960 is a `hidden beast` number, since 1 + 0 + 6 + 536 + 7 + 20 + 96 + 0 = 666.

It is a super-2 number, since 2×106536720960² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1441386 + ... + 1513494.

It is an arithmetic number, because the mean of its divisors is an integer number (1190536100).

Almost surely, 2^106536720960 is an apocalyptic number.

106536720960 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 106536720960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200010064800).

106536720960 is an abundant number, since it is smaller than the sum of its proper divisors (293483408640).

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

106536720960 is an equidigital number, since it uses as much as digits as its factorization.

106536720960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72160 (or 72138 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 106536720960 in words is "one hundred six billion, five hundred thirty-six million, seven hundred twenty thousand, nine hundred sixty".