106738155440 has 80 divisors (see below), whose sum is σ = 283688039232. Its totient is φ = 36586970112.

The previous prime is 106738155437. The next prime is 106738155467. The reversal of 106738155440 is 44551837601.

106738155440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×106738155440² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106738155391 and 106738155400.

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, 2508422 + ... + 2550618.

Almost surely, 2^106738155440 is an apocalyptic number.

106738155440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106738155440 is an abundant number, since it is smaller than the sum of its proper divisors (176949883792).

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

106738155440 is a wasteful number, since it uses less digits than its factorization.

106738155440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46734 (or 46728 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 44.

The spelling of 106738155440 in words is "one hundred six billion, seven hundred thirty-eight million, one hundred fifty-five thousand, four hundred forty".