106714805440 has 112 divisors (see below), whose sum is σ = 259600866624. Its totient is φ = 41771520000.

The previous prime is 106714805419. The next prime is 106714805539. The reversal of 106714805440 is 44508417601.

It is a super-2 number, since 2×106714805440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 106714805393 and 106714805402.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3831565 + ... + 3859315.

Almost surely, 2^106714805440 is an apocalyptic number.

106714805440 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 106714805440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129800433312).

106714805440 is an abundant number, since it is smaller than the sum of its proper divisors (152886061184).

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

106714805440 is a wasteful number, since it uses less digits than its factorization.

106714805440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28026 (or 28016 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The spelling of 106714805440 in words is "one hundred six billion, seven hundred fourteen million, eight hundred five thousand, four hundred forty".