106899801120 has 288 divisors, whose sum is σ = 435036655872. Its totient is φ = 23371831296.

The previous prime is 106899801119. The next prime is 106899801139. The reversal of 106899801120 is 21108998601.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×106899801120² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1294 + ... + 462386.

It is an arithmetic number, because the mean of its divisors is an integer number (1510543944).

Almost surely, 2^106899801120 is an apocalyptic number.

106899801120 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 106899801120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217518327936).

106899801120 is an abundant number, since it is smaller than the sum of its proper divisors (328136854752).

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

106899801120 is a wasteful number, since it uses less digits than its factorization.

106899801120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461144 (or 461133 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 45.

The spelling of 106899801120 in words is "one hundred six billion, eight hundred ninety-nine million, eight hundred one thousand, one hundred twenty".