106454519808 has 832 divisors, whose sum is σ = 374824353792. Its totient is φ = 26117406720.

The previous prime is 106454519779. The next prime is 106454519833. The reversal of 106454519808 is 808915454601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (832).

It is a super-2 number, since 2×106454519808² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1282584535 + ... + 1282584617.

Almost surely, 2^106454519808 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 106454519808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187412176896).

106454519808 is an abundant number, since it is smaller than the sum of its proper divisors (268369833984).

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

106454519808 is a wasteful number, since it uses less digits than its factorization.

106454519808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 51.

The spelling of 106454519808 in words is "one hundred six billion, four hundred fifty-four million, five hundred nineteen thousand, eight hundred eight".