106377513003216 has 960 divisors, whose sum is σ = 381479750400000. Its totient is φ = 27788686848000.

The previous prime is 106377513003199. The next prime is 106377513003227. The reversal of 106377513003216 is 612300315773601.

106377513003216 is a `hidden beast` number, since 1 + 0 + 63 + 7 + 75 + 1 + 300 + 3 + 216 = 666.

It is a super-2 number, since 2×106377513003216² (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 191 ways as a sum of consecutive naturals, for example, 35447353716 + ... + 35447356716.

It is an arithmetic number, because the mean of its divisors is an integer number (397374740000).

Almost surely, 2^{106377513003216} is an apocalyptic number.

106377513003216 is a gapful number since it is divisible by the number (16) 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 106377513003216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190739875200000).

106377513003216 is an abundant number, since it is smaller than the sum of its proper divisors (275102237396784).

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

106377513003216 is a wasteful number, since it uses less digits than its factorization.

106377513003216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3689 (or 3664 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

Adding to 106377513003216 its reverse (612300315773601), we get a palindrome (718677828776817).

The spelling of 106377513003216 in words is "one hundred six trillion, three hundred seventy-seven billion, five hundred thirteen million, three thousand, two hundred sixteen".