2106537436542 has 96 divisors (see below), whose sum is σ = 5324151200256. Its totient is φ = 543875999040.

The previous prime is 2106537436519. The next prime is 2106537436559. The reversal of 2106537436542 is 2456347356012.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2106537436491 and 2106537436500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 392353 + ... + 2089740.

It is an arithmetic number, because the mean of its divisors is an integer number (55459908336).

Almost surely, 2^{2106537436542} is an apocalyptic number.

2106537436542 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2106537436542 is an abundant number, since it is smaller than the sum of its proper divisors (3217613763714).

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

2106537436542 is a wasteful number, since it uses less digits than its factorization.

2106537436542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2482294 (or 2482283 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 48.

The spelling of 2106537436542 in words is "two trillion, one hundred six billion, five hundred thirty-seven million, four hundred thirty-six thousand, five hundred forty-two".