6121892106 has 96 divisors (see below), whose sum is σ = 15138938880. Its totient is φ = 1769776800.

The previous prime is 6121892039. The next prime is 6121892111. The reversal of 6121892106 is 6012981216.

6121892106 is a `hidden beast` number, since 612 + 18 + 9 + 21 + 0 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1961215 + ... + 1964333.

It is an arithmetic number, because the mean of its divisors is an integer number (157697280).

Almost surely, 2^6121892106 is an apocalyptic number.

6121892106 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6121892106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7569469440).

6121892106 is an abundant number, since it is smaller than the sum of its proper divisors (9017046774).

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

6121892106 is a wasteful number, since it uses less digits than its factorization.

6121892106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3592 (or 3589 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 6121892106 is about 78242.5210866828. The cubic root of 6121892106 is about 1829.3433404985.

The spelling of 6121892106 in words is "six billion, one hundred twenty-one million, eight hundred ninety-two thousand, one hundred six".