106921824768 has 600 divisors, whose sum is σ = 370285456464. Its totient is φ = 30457036800.

The previous prime is 106921824761. The next prime is 106921824769. The reversal of 106921824768 is 867428129601.

It is a happy number.

106921824768 is a `hidden beast` number, since 1 + 0 + 6 + 92 + 1 + 82 + 476 + 8 = 666.

It is a super-2 number, since 2×106921824768² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (106921824761) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 131839083 + ... + 131839893.

Almost surely, 2^106921824768 is an apocalyptic number.

106921824768 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 106921824768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185142728232).

106921824768 is an abundant number, since it is smaller than the sum of its proper divisors (263363631696).

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

106921824768 is an equidigital number, since it uses as much as digits as its factorization.

106921824768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 106921824768 in words is "one hundred six billion, nine hundred twenty-one million, eight hundred twenty-four thousand, seven hundred sixty-eight".