106405103664 has 60 divisors (see below), whose sum is σ = 297823125600. Its totient is φ = 35464006272.

The previous prime is 106405103659. The next prime is 106405103729. The reversal of 106405103664 is 466301504601.

It is a happy number.

106405103664 is a `hidden beast` number, since 1 + 0 + 640 + 5 + 1 + 0 + 3 + 6 + 6 + 4 = 666.

It is a super-2 number, since 2×106405103664² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1259257 + ... + 1341095.

It is an arithmetic number, because the mean of its divisors is an integer number (4963718760).

Almost surely, 2^106405103664 is an apocalyptic number.

It is an amenable number.

106405103664 is an abundant number, since it is smaller than the sum of its proper divisors (191418021936).

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

106405103664 is a wasteful number, since it uses less digits than its factorization.

106405103664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90882 (or 90873 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 106405103664 in words is "one hundred six billion, four hundred five million, one hundred three thousand, six hundred sixty-four".