106514510160 has 80 divisors (see below), whose sum is σ = 332570589120. Its totient is φ = 28199516160.

The previous prime is 106514510153. The next prime is 106514510177. The reversal of 106514510160 is 61015415601.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×106514510160² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1563081 + ... + 1629800.

It is an arithmetic number, because the mean of its divisors is an integer number (4157132364).

Almost surely, 2^106514510160 is an apocalyptic number.

106514510160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106514510160 is an abundant number, since it is smaller than the sum of its proper divisors (226056078960).

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

106514510160 is a wasteful number, since it uses less digits than its factorization.

106514510160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3193036 (or 3193030 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

Adding to 106514510160 its reverse (61015415601), we get a palindrome (167529925761).

The spelling of 106514510160 in words is "one hundred six billion, five hundred fourteen million, five hundred ten thousand, one hundred sixty".