106524562536 has 240 divisors, whose sum is σ = 351482155200. Its totient is φ = 30049621056.

The previous prime is 106524562519. The next prime is 106524562567. The reversal of 106524562536 is 635265425601.

106524562536 is a `hidden beast` number, since 1 + 0 + 6 + 52 + 4 + 5 + 62 + 536 = 666.

It is a super-2 number, since 2×106524562536² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106524562491 and 106524562500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2487175 + ... + 2529641.

It is an arithmetic number, because the mean of its divisors is an integer number (1464508980).

Almost surely, 2^106524562536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106524562536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175741077600).

106524562536 is an abundant number, since it is smaller than the sum of its proper divisors (244957592664).

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

106524562536 is a wasteful number, since it uses less digits than its factorization.

106524562536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42578 (or 42558 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 106524562536 in words is "one hundred six billion, five hundred twenty-four million, five hundred sixty-two thousand, five hundred thirty-six".