106510201050042 has 12 divisors (see below), whose sum is σ = 230772102275130. Its totient is φ = 35503400350008.

The previous prime is 106510201050017. The next prime is 106510201050089. The reversal of 106510201050042 is 240050102015601.

106510201050042 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 102 + 0 + 10 + 500 + 42 = 666.

It can be written as a sum of positive squares in only one way, i.e., 63887073857721 + 42623127192321 = 7992939^2 + 6528639^2 .

It is a super-2 number, since 2×106510201050042² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106510201049988 and 106510201050015.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2958616695817 + ... + 2958616695852.

Almost surely, 2^{106510201050042} is an apocalyptic number.

106510201050042 is an abundant number, since it is smaller than the sum of its proper divisors (124261901225088).

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

106510201050042 is a wasteful number, since it uses less digits than its factorization.

106510201050042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5917233391677 (or 5917233391674 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 106510201050042 its reverse (240050102015601), we get a palindrome (346560303065643).

The spelling of 106510201050042 in words is "one hundred six trillion, five hundred ten billion, two hundred one million, fifty thousand, forty-two".