106427661753 has 24 divisors (see below), whose sum is σ = 165105712992. Its totient is φ = 60803193024.

The previous prime is 106427661727. The next prime is 106427661763. The reversal of 106427661753 is 357166724601.

It is a happy number.

It is not a de Polignac number, because 106427661753 - 2¹⁴ = 106427645369 is a prime.

It is a super-2 number, since 2×106427661753² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106427661763) 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, 660501 + ... + 805677.

It is an arithmetic number, because the mean of its divisors is an integer number (6879404708).

Almost surely, 2^106427661753 is an apocalyptic number.

It is an amenable number.

106427661753 is a deficient number, since it is larger than the sum of its proper divisors (58678051239).

106427661753 is a wasteful number, since it uses less digits than its factorization.

106427661753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150181 (or 150174 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

It can be divided in two parts, 106427 and 661753, that added together give a triangular number (768180 = T₁₂₃₉).

The spelling of 106427661753 in words is "one hundred six billion, four hundred twenty-seven million, six hundred sixty-one thousand, seven hundred fifty-three".