106821299440 has 80 divisors (see below), whose sum is σ = 249700018176. Its totient is φ = 42498259200.

The previous prime is 106821299411. The next prime is 106821299443. The reversal of 106821299440 is 44992128601.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×106821299440² (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 (106821299443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27311085 + ... + 27314995.

Almost surely, 2^106821299440 is an apocalyptic number.

106821299440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106821299440 is an abundant number, since it is smaller than the sum of its proper divisors (142878718736).

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

106821299440 is a wasteful number, since it uses less digits than its factorization.

106821299440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5678 (or 5672 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The spelling of 106821299440 in words is "one hundred six billion, eight hundred twenty-one million, two hundred ninety-nine thousand, four hundred forty".