106221169152 has 320 divisors, whose sum is σ = 360181113600. Its totient is φ = 30277877760.

The previous prime is 106221169127. The next prime is 106221169177. The reversal of 106221169152 is 251961122601.

106221169152 is a `hidden beast` number, since 1 + 0 + 622 + 1 + 16 + 9 + 15 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (106221169127) and next prime (106221169177).

It is a super-2 number, since 2×106221169152² (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 31 ways as a sum of consecutive naturals, for example, 52350474 + ... + 52352502.

It is an arithmetic number, because the mean of its divisors is an integer number (1125565980).

Almost surely, 2^106221169152 is an apocalyptic number.

106221169152 is a gapful number since it is divisible by the number (12) 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 106221169152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180090556800).

106221169152 is an abundant number, since it is smaller than the sum of its proper divisors (253959944448).

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

106221169152 is an equidigital number, since it uses as much as digits as its factorization.

106221169152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2604 (or 2582 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 106221169152 in words is "one hundred six billion, two hundred twenty-one million, one hundred sixty-nine thousand, one hundred fifty-two".