106505016550160 has 20 divisors (see below), whose sum is σ = 247624163479308. Its totient is φ = 42602006620032.

The previous prime is 106505016550133. The next prime is 106505016550189. The reversal of 106505016550160 is 61055610505601.

It can be written as a sum of positive squares in 2 ways, for example, as 48355668222976 + 58149348327184 = 6953824^2 + 7625572^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×106505016550160² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 665656353359 + ... + 665656353518.

Almost surely, 2^{106505016550160} is an apocalyptic number.

106505016550160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106505016550160 is an abundant number, since it is smaller than the sum of its proper divisors (141119146929148).

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

106505016550160 is a wasteful number, since it uses less digits than its factorization.

106505016550160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331312706890 (or 1331312706884 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 41.

The spelling of 106505016550160 in words is "one hundred six trillion, five hundred five billion, sixteen million, five hundred fifty thousand, one hundred sixty".