106021520136 has 224 divisors, whose sum is σ = 360666915840. Its totient is φ = 28509801984.

The previous prime is 106021520071. The next prime is 106021520149. The reversal of 106021520136 is 631025120601.

106021520136 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 2 + 1 + 520 + 136 = 666.

It is a super-2 number, since 2×106021520136² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 617625 + ... + 770391.

It is an arithmetic number, because the mean of its divisors is an integer number (1610120160).

Almost surely, 2^106021520136 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 106021520136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180333457920).

106021520136 is an abundant number, since it is smaller than the sum of its proper divisors (254645395704).

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

106021520136 is a wasteful number, since it uses less digits than its factorization.

106021520136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152815 (or 152796 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 106021520136 its reverse (631025120601), we get a palindrome (737046640737).

The spelling of 106021520136 in words is "one hundred six billion, twenty-one million, five hundred twenty thousand, one hundred thirty-six".