106178187720 has 128 divisors (see below), whose sum is σ = 347723280000. Its totient is φ = 25723054080.

The previous prime is 106178187701. The next prime is 106178187737. The reversal of 106178187720 is 27781871601.

It is a super-2 number, since 2×106178187720² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106178187720.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2018716 + ... + 2070644.

It is an arithmetic number, because the mean of its divisors is an integer number (2716588125).

Almost surely, 2^106178187720 is an apocalyptic number.

106178187720 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 106178187720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173861640000).

106178187720 is an abundant number, since it is smaller than the sum of its proper divisors (241545092280).

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

106178187720 is a wasteful number, since it uses less digits than its factorization.

106178187720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53503 (or 53499 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 48.

The spelling of 106178187720 in words is "one hundred six billion, one hundred seventy-eight million, one hundred eighty-seven thousand, seven hundred twenty".