106124113800 has 288 divisors, whose sum is σ = 372358701000. Its totient is φ = 27052032000.

The previous prime is 106124113789. The next prime is 106124113853. The reversal of 106124113800 is 8311421601.

It is a happy number.

106124113800 is a `hidden beast` number, since 1 + 0 + 612 + 4 + 11 + 38 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 53114577156 + 53009536644 = 230466^2 + 230238^2 .

It is a super-2 number, since 2×106124113800² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5262136 + ... + 5282264.

Almost surely, 2^106124113800 is an apocalyptic number.

106124113800 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 106124113800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186179350500).

106124113800 is an abundant number, since it is smaller than the sum of its proper divisors (266234587200).

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

106124113800 is a wasteful number, since it uses less digits than its factorization.

106124113800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20281 (or 20269 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 106124113800 in words is "one hundred six billion, one hundred twenty-four million, one hundred thirteen thousand, eight hundred".