106203162055320 has 384 divisors, whose sum is σ = 381272854809600. Its totient is φ = 25424185651200.

The previous prime is 106203162055313. The next prime is 106203162055339. The reversal of 106203162055320 is 23550261302601.

106203162055320 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 0 + 3 + 1 + 620 + 5 + 5 + 3 + 20 = 666.

It is a super-2 number, since 2×106203162055320² (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 95 ways as a sum of consecutive naturals, for example, 120829191 + ... + 121704969.

It is an arithmetic number, because the mean of its divisors is an integer number (992898059400).

Almost surely, 2^{106203162055320} is an apocalyptic number.

106203162055320 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 106203162055320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190636427404800).

106203162055320 is an abundant number, since it is smaller than the sum of its proper divisors (275069692754280).

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

106203162055320 is a wasteful number, since it uses less digits than its factorization.

106203162055320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876191 (or 876184 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 106203162055320 in words is "one hundred six trillion, two hundred three billion, one hundred sixty-two million, fifty-five thousand, three hundred twenty".