106210842768 has 60 divisors (see below), whose sum is σ = 298427180688. Its totient is φ = 35262552000.

The previous prime is 106210842763. The next prime is 106210842779. The reversal of 106210842768 is 867248012601.

106210842768 is a `hidden beast` number, since 1 + 0 + 6 + 210 + 8 + 427 + 6 + 8 = 666.

It is a super-2 number, since 2×106210842768² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106210842763) 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, 1433130 + ... + 1505417.

Almost surely, 2^106210842768 is an apocalyptic number.

106210842768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106210842768 is an abundant number, since it is smaller than the sum of its proper divisors (192216337920).

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

106210842768 is a wasteful number, since it uses less digits than its factorization.

106210842768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2938812 (or 2938803 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 106210842768 in words is "one hundred six billion, two hundred ten million, eight hundred forty-two thousand, seven hundred sixty-eight".