106743403440 has 120 divisors (see below), whose sum is σ = 365243832720. Its totient is φ = 27927823872.

The previous prime is 106743403439. The next prime is 106743403447. The reversal of 106743403440 is 44304347601.

106743403440 is a `hidden beast` number, since 106 + 74 + 3 + 40 + 3 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×106743403440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 106743403395 and 106743403404.

It is not an unprimeable number, because it can be changed into a prime (106743403447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1360470 + ... + 1436789.

It is an arithmetic number, because the mean of its divisors is an integer number (3043698606).

Almost surely, 2^106743403440 is an apocalyptic number.

106743403440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106743403440 is an abundant number, since it is smaller than the sum of its proper divisors (258500429280).

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

106743403440 is a wasteful number, since it uses less digits than its factorization.

106743403440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2797331 (or 2797322 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 106743403440 in words is "one hundred six billion, seven hundred forty-three million, four hundred three thousand, four hundred forty".