106541570520 has 384 divisors, whose sum is σ = 454424256000. Its totient is φ = 20973219840.

The previous prime is 106541570497. The next prime is 106541570533. The reversal of 106541570520 is 25075145601.

106541570520 is a `hidden beast` number, since 1 + 0 + 6 + 54 + 15 + 70 + 520 = 666.

It is a super-2 number, since 2×106541570520² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 425536 + ... + 627824.

It is an arithmetic number, because the mean of its divisors is an integer number (1183396500).

Almost surely, 2^106541570520 is an apocalyptic number.

106541570520 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 106541570520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227212128000).

106541570520 is an abundant number, since it is smaller than the sum of its proper divisors (347882685480).

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

106541570520 is a wasteful number, since it uses less digits than its factorization.

106541570520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202343 (or 202336 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 106541570520 in words is "one hundred six billion, five hundred forty-one million, five hundred seventy thousand, five hundred twenty".