106172117100 has 216 divisors, whose sum is σ = 388095125600. Its totient is φ = 24267841920.

The previous prime is 106172117063. The next prime is 106172117113. The reversal of 106172117100 is 1711271601.

106172117100 is a `hidden beast` number, since 1 + 0 + 617 + 21 + 17 + 10 + 0 = 666.

It is a super-2 number, since 2×106172117100² (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, 136734 + ... + 480666.

Almost surely, 2^106172117100 is an apocalyptic number.

106172117100 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 106172117100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194047562800).

106172117100 is an abundant number, since it is smaller than the sum of its proper divisors (281923008500).

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

106172117100 is a wasteful number, since it uses less digits than its factorization.

106172117100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343974 (or 343950 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 27.

Adding to 106172117100 its reverse (1711271601), we get a palindrome (107883388701).

The spelling of 106172117100 in words is "one hundred six billion, one hundred seventy-two million, one hundred seventeen thousand, one hundred".