106219828618560 has 336 divisors, whose sum is σ = 379976059756800. Its totient is φ = 27210879700992.

The previous prime is 106219828618549. The next prime is 106219828618591. The reversal of 106219828618560 is 65816828912601.

106219828618560 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 1 + 9 + 8 + 2 + 8 + 61 + 8 + 560 = 666.

It is a super-2 number, since 2×106219828618560² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2109331 + ... + 14727149.

Almost surely, 2^{106219828618560} is an apocalyptic number.

106219828618560 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 106219828618560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189988029878400).

106219828618560 is an abundant number, since it is smaller than the sum of its proper divisors (273756231138240).

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

106219828618560 is a wasteful number, since it uses less digits than its factorization.

106219828618560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12617958 (or 12617945 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 63.

The spelling of 106219828618560 in words is "one hundred six trillion, two hundred nineteen billion, eight hundred twenty-eight million, six hundred eighteen thousand, five hundred sixty".