106023696000 has 384 divisors, whose sum is σ = 373408176960. Its totient is φ = 26606387200.

The previous prime is 106023695969. The next prime is 106023696071. The reversal of 106023696000 is 696320601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×106023696000² (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, 13868179 + ... + 13875821.

Almost surely, 2^106023696000 is an apocalyptic number.

106023696000 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 106023696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186704088480).

106023696000 is an abundant number, since it is smaller than the sum of its proper divisors (267384480960).

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

106023696000 is an equidigital number, since it uses as much as digits as its factorization.

106023696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7709 (or 7670 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The spelling of 106023696000 in words is "one hundred six billion, twenty-three million, six hundred ninety-six thousand".