106553604564360 has 320 divisors, whose sum is σ = 360593518158720. Its totient is φ = 28219603737600.

The previous prime is 106553604564283. The next prime is 106553604564397. The reversal of 106553604564360 is 63465406355601.

106553604564360 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 536 + 0 + 4 + 5 + 6 + 43 + 60 = 666.

It is a super-2 number, since 2×106553604564360² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 106553604564297 and 106553604564306.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2341969132 + ... + 2342014628.

It is an arithmetic number, because the mean of its divisors is an integer number (1126854744246).

Almost surely, 2^{106553604564360} is an apocalyptic number.

106553604564360 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 106553604564360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180296759079360).

106553604564360 is an abundant number, since it is smaller than the sum of its proper divisors (254039913594360).

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

106553604564360 is a wasteful number, since it uses less digits than its factorization.

106553604564360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50458 (or 50445 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 54.

The spelling of 106553604564360 in words is "one hundred six trillion, five hundred fifty-three billion, six hundred four million, five hundred sixty-four thousand, three hundred sixty".