106744651524 has 135 divisors (see below), whose sum is σ = 324736285797. Its totient is φ = 30486710016.

The previous prime is 106744651483. The next prime is 106744651529. The reversal of 106744651524 is 425156447601.

The square root of 106744651524 is 326718.

It is a perfect power (a square), and thus also a powerful number.

106744651524 is a `hidden beast` number, since 1 + 0 + 6 + 74 + 4 + 6 + 51 + 524 = 666.

It can be written as a sum of positive squares in only one way, i.e., 64460132100 + 42284519424 = 253890^2 + 205632^2 .

It is a super-2 number, since 2×106744651524² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106744651524.

It is not an unprimeable number, because it can be changed into a prime (106744651529) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 41165172 + ... + 41167764.

Almost surely, 2^106744651524 is an apocalyptic number.

106744651524 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

106744651524 is the 326718-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106744651524

106744651524 is an abundant number, since it is smaller than the sum of its proper divisors (217991634273).

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

106744651524 is an frugal number, since it uses more digits than its factorization.

106744651524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5216 (or 2605 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 106744651524 in words is "one hundred six billion, seven hundred forty-four million, six hundred fifty-one thousand, five hundred twenty-four".