106366304560 has 40 divisors (see below), whose sum is σ = 248557033296. Its totient is φ = 42330543360.

The previous prime is 106366304509. The next prime is 106366304567. The reversal of 106366304560 is 65403663601.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×106366304560² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (106366304567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3358806 + ... + 3390325.

Almost surely, 2^106366304560 is an apocalyptic number.

106366304560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106366304560 is an abundant number, since it is smaller than the sum of its proper divisors (142190728736).

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

106366304560 is a wasteful number, since it uses less digits than its factorization.

106366304560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6749341 (or 6749335 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 40.

The spelling of 106366304560 in words is "one hundred six billion, three hundred sixty-six million, three hundred four thousand, five hundred sixty".