106092011520 has 1568 divisors, whose sum is σ = 464139564480. Its totient is φ = 22932357120.

The previous prime is 106092011491. The next prime is 106092011521. The reversal of 106092011520 is 25110290601.

106092011520 is a `hidden beast` number, since 1 + 0 + 609 + 2 + 0 + 1 + 1 + 52 + 0 = 666.

It is a super-2 number, since 2×106092011520² (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 not an unprimeable number, because it can be changed into a prime (106092011521) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 5583790071 + ... + 5583790089.

Almost surely, 2^106092011520 is an apocalyptic number.

106092011520 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 106092011520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232069782240).

106092011520 is an abundant number, since it is smaller than the sum of its proper divisors (358047552960).

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

106092011520 is an equidigital number, since it uses as much as digits as its factorization.

106092011520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 106092011520 in words is "one hundred six billion, ninety-two million, eleven thousand, five hundred twenty".