106129216240 has 80 divisors (see below), whose sum is σ = 252101864448. Its totient is φ = 41540179968.

The previous prime is 106129216217. The next prime is 106129216253. The reversal of 106129216240 is 42612921601.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×106129216240² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106129216196 and 106129216205.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 670134 + ... + 813226.

Almost surely, 2^106129216240 is an apocalyptic number.

106129216240 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 106129216240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126050932224).

106129216240 is an abundant number, since it is smaller than the sum of its proper divisors (145972648208).

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

106129216240 is a wasteful number, since it uses less digits than its factorization.

106129216240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143306 (or 143300 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The spelling of 106129216240 in words is "one hundred six billion, one hundred twenty-nine million, two hundred sixteen thousand, two hundred forty".