106822033920 has 240 divisors, whose sum is σ = 422806063680. Its totient is φ = 24416428032.

The previous prime is 106822033907. The next prime is 106822033933. The reversal of 106822033920 is 29330228601.

106822033920 is a `hidden beast` number, since 1 + 0 + 68 + 2 + 203 + 392 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (106822033907) and next prime (106822033933).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×106822033920² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169890 + ... + 492449.

It is an arithmetic number, because the mean of its divisors is an integer number (1761691932).

Almost surely, 2^106822033920 is an apocalyptic number.

106822033920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106822033920 is an abundant number, since it is smaller than the sum of its proper divisors (315984029760).

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

106822033920 is an equidigital number, since it uses as much as digits as its factorization.

106822033920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662375 (or 662356 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 106822033920 in words is "one hundred six billion, eight hundred twenty-two million, thirty-three thousand, nine hundred twenty".