106233878016 has 480 divisors, whose sum is σ = 373757649408. Its totient is φ = 28355788800.

The previous prime is 106233878011. The next prime is 106233878057. The reversal of 106233878016 is 610878332601.

106233878016 is a `hidden beast` number, since 1 + 0 + 623 + 3 + 8 + 7 + 8 + 0 + 16 = 666.

It is a super-2 number, since 2×106233878016² (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 (106233878011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82800511 + ... + 82801793.

Almost surely, 2^106233878016 is an apocalyptic number.

106233878016 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 106233878016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186878824704).

106233878016 is an abundant number, since it is smaller than the sum of its proper divisors (267523771392).

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

106233878016 is a wasteful number, since it uses less digits than its factorization.

106233878016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482 (or 1463 counting only the distinct ones).

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

The spelling of 106233878016 in words is "one hundred six billion, two hundred thirty-three million, eight hundred seventy-eight thousand, sixteen".