106416640000 has 260 divisors, whose sum is σ = 290175676560. Its totient is φ = 38686720000.

The previous prime is 106416639997. The next prime is 106416640021. The reversal of 106416640000 is 46614601.

It is a super-2 number, since 2×106416640000² (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 (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28158111 + ... + 28161889.

Almost surely, 2^106416640000 is an apocalyptic number.

106416640000 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 106416640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145087838280).

106416640000 is an abundant number, since it is smaller than the sum of its proper divisors (183759036560).

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

106416640000 is an frugal number, since it uses more digits than its factorization.

106416640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3834 (or 3797 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 106416640000 in words is "one hundred six billion, four hundred sixteen million, six hundred forty thousand".