106946840000 has 560 divisors, whose sum is σ = 356197180416. Its totient is φ = 30758400000.

The previous prime is 106946839999. The next prime is 106946840003. The reversal of 106946840000 is 48649601.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×106946840000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106946840003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 40038665 + ... + 40041335.

Almost surely, 2^106946840000 is an apocalyptic number.

106946840000 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 106946840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178098590208).

106946840000 is an abundant number, since it is smaller than the sum of its proper divisors (249250340416).

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

106946840000 is a wasteful number, since it uses less digits than its factorization.

106946840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2734 (or 2709 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The spelling of 106946840000 in words is "one hundred six billion, nine hundred forty-six million, eight hundred forty thousand".