106461905600 has 168 divisors, whose sum is σ = 274127262768. Its totient is φ = 40650854400.

The previous prime is 106461905581. The next prime is 106461905617. The reversal of 106461905600 is 6509164601.

It is a super-2 number, since 2×106461905600² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3120635 + ... + 3154565.

Almost surely, 2^106461905600 is an apocalyptic number.

106461905600 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 106461905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137063631384).

106461905600 is an abundant number, since it is smaller than the sum of its proper divisors (167665357168).

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

106461905600 is a wasteful number, since it uses less digits than its factorization.

106461905600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34043 (or 34028 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The spelling of 106461905600 in words is "one hundred six billion, four hundred sixty-one million, nine hundred five thousand, six hundred".