106096241664 has 528 divisors, whose sum is σ = 384547258368. Its totient is φ = 28522119168.

The previous prime is 106096241659. The next prime is 106096241677. The reversal of 106096241664 is 466142690601.

It is a happy number.

106096241664 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 9 + 624 + 16 + 6 + 4 = 666.

It is a super-2 number, since 2×106096241664² (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 47 ways as a sum of consecutive naturals, for example, 29609217 + ... + 29612799.

Almost surely, 2^106096241664 is an apocalyptic number.

106096241664 is a gapful number since it is divisible by the number (14) 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 106096241664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192273629184).

106096241664 is an abundant number, since it is smaller than the sum of its proper divisors (278451016704).

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

106096241664 is an equidigital number, since it uses as much as digits as its factorization.

106096241664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3642 (or 3612 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 106096241664 in words is "one hundred six billion, ninety-six million, two hundred forty-one thousand, six hundred sixty-four".