106283037168 has 960 divisors, whose sum is σ = 407713904640. Its totient is φ = 25893457920.

The previous prime is 106283037167. The next prime is 106283037187. The reversal of 106283037168 is 861730382601.

106283037168 is a `hidden beast` number, since 1 + 0 + 628 + 3 + 0 + 3 + 7 + 16 + 8 = 666.

It is a super-2 number, since 2×106283037168² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106283037167) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 614352730 + ... + 614352902.

It is an arithmetic number, because the mean of its divisors is an integer number (424701984).

Almost surely, 2^106283037168 is an apocalyptic number.

106283037168 is a gapful number since it is divisible by the number (18) 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 106283037168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203856952320).

106283037168 is an abundant number, since it is smaller than the sum of its proper divisors (301430867472).

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

106283037168 is a wasteful number, since it uses less digits than its factorization.

106283037168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 106283037168 in words is "one hundred six billion, two hundred eighty-three million, thirty-seven thousand, one hundred sixty-eight".