106296768 has 84 divisors (see below), whose sum is σ = 314561728. Its totient is φ = 34283520.

The previous prime is 106296763. The next prime is 106296787. The reversal of 106296768 is 867692601.

106296768 is a `hidden beast` number, since 10 + 629 + 6 + 7 + 6 + 8 = 666.

It is a super-2 number, since 2×106296768² = 22598005774491648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106296761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14880 + ... + 20832.

Almost surely, 2^106296768 is an apocalyptic number.

106296768 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 106296768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157280864).

106296768 is an abundant number, since it is smaller than the sum of its proper divisors (208264960).

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

106296768 is a wasteful number, since it uses less digits than its factorization.

106296768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6002 (or 5989 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 106296768 is about 10310.0323956814. The cubic root of 106296768 is about 473.7036014830.

It can be divided in two parts, 1062 and 96768, that multiplied together give a triangular number (102767616 = T₁₄₃₃₆).

The spelling of 106296768 in words is "one hundred six million, two hundred ninety-six thousand, seven hundred sixty-eight".