106514005432320 has 1536 divisors, whose sum is σ = 393813400780800. Its totient is φ = 27289504972800.

The previous prime is 106514005432319. The next prime is 106514005432333. The reversal of 106514005432320 is 23234500415601.

106514005432320 is a `hidden beast` number, since 1 + 0 + 6 + 51 + 40 + 0 + 543 + 2 + 3 + 20 = 666.

106514005432320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×106514005432320² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 346951157607 + ... + 346951157913.

It is an arithmetic number, because the mean of its divisors is an integer number (256388932800).

Almost surely, 2^{106514005432320} is an apocalyptic number.

106514005432320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106514005432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196906700390400).

106514005432320 is an abundant number, since it is smaller than the sum of its proper divisors (287299395348480).

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

106514005432320 is a wasteful number, since it uses less digits than its factorization.

106514005432320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 106514005432320 its reverse (23234500415601), we get a palindrome (129748505847921).

The spelling of 106514005432320 in words is "one hundred six trillion, five hundred fourteen billion, five million, four hundred thirty-two thousand, three hundred twenty".