106850388060 has 192 divisors, whose sum is σ = 370339804800. Its totient is φ = 25394632704.

The previous prime is 106850388019. The next prime is 106850388079. The reversal of 106850388060 is 60883058601.

106850388060 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 503 + 8 + 80 + 60 = 666.

It is a super-2 number, since 2×106850388060² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 106850387997 and 106850388015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58849 + ... + 466008.

It is an arithmetic number, because the mean of its divisors is an integer number (1928853150).

Almost surely, 2^106850388060 is an apocalyptic number.

106850388060 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 106850388060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185169902400).

106850388060 is an abundant number, since it is smaller than the sum of its proper divisors (263489416740).

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

106850388060 is a wasteful number, since it uses less digits than its factorization.

106850388060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524917 (or 524909 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 106850388060 in words is "one hundred six billion, eight hundred fifty million, three hundred eighty-eight thousand, sixty".