106817901120 has 672 divisors, whose sum is σ = 437540253696. Its totient is φ = 24298444800.

The previous prime is 106817901119. The next prime is 106817901139. The reversal of 106817901120 is 21109718601.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×106817901120² (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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 169283205 + ... + 169283835.

It is an arithmetic number, because the mean of its divisors is an integer number (651101568).

Almost surely, 2^106817901120 is an apocalyptic number.

106817901120 is a gapful number since it is divisible by the number (10) 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 106817901120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218770126848).

106817901120 is an abundant number, since it is smaller than the sum of its proper divisors (330722352576).

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

106817901120 is an equidigital number, since it uses as much as digits as its factorization.

106817901120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 36.

The spelling of 106817901120 in words is "one hundred six billion, eight hundred seventeen million, nine hundred one thousand, one hundred twenty".