106401123216 has 60 divisors (see below), whose sum is σ = 310722130368. Its totient is φ = 33924994752.

The previous prime is 106401123203. The next prime is 106401123233. The reversal of 106401123216 is 612321104601.

It is a happy number.

106401123216 is a `hidden beast` number, since 1 + 0 + 640 + 1 + 1 + 2 + 3 + 2 + 16 = 666.

It is a super-2 number, since 2×106401123216² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106401123216.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16059660 + ... + 16066283.

Almost surely, 2^106401123216 is an apocalyptic number.

106401123216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106401123216 is an abundant number, since it is smaller than the sum of its proper divisors (204321007152).

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

106401123216 is a wasteful number, since it uses less digits than its factorization.

106401123216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32125980 (or 32125971 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 106401123216 its reverse (612321104601), we get a palindrome (718722227817).

The spelling of 106401123216 in words is "one hundred six billion, four hundred one million, one hundred twenty-three thousand, two hundred sixteen".