106467952768 has 16 divisors (see below), whose sum is σ = 212104124910. Its totient is φ = 53233976320.

The previous prime is 106467952763. The next prime is 106467952771. The reversal of 106467952768 is 867259764601.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 80742359104 + 25725593664 = 284152^2 + 160392^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×106467952768² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106467952763) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 415890313 + ... + 415890568.

Almost surely, 2^106467952768 is an apocalyptic number.

It is an amenable number.

106467952768 is a deficient number, since it is larger than the sum of its proper divisors (105636172142).

106467952768 is an frugal number, since it uses more digits than its factorization.

106467952768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831780895 (or 831780883 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 61.

The spelling of 106467952768 in words is "one hundred six billion, four hundred sixty-seven million, nine hundred fifty-two thousand, seven hundred sixty-eight".