106387040544 has 48 divisors (see below), whose sum is σ = 279296075520. Its totient is φ = 35458525440.

The previous prime is 106387040497. The next prime is 106387040563. The reversal of 106387040544 is 445040783601.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×106387040544² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106387040496 and 106387040505.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 918897 + ... + 1028175.

It is an arithmetic number, because the mean of its divisors is an integer number (5818668240).

Almost surely, 2^106387040544 is an apocalyptic number.

It is an amenable number.

106387040544 is an abundant number, since it is smaller than the sum of its proper divisors (172909034976).

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

106387040544 is a wasteful number, since it uses less digits than its factorization.

106387040544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119433 (or 119425 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 106387040544 in words is "one hundred six billion, three hundred eighty-seven million, forty thousand, five hundred forty-four".