106517112 has 64 divisors (see below), whose sum is σ = 288398880. Its totient is φ = 32589312.

The previous prime is 106517101. The next prime is 106517113. The reversal of 106517112 is 211715601.

It is a super-2 number, since 2×106517112² = 22691790297641088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106517113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60598 + ... + 62330.

Almost surely, 2^106517112 is an apocalyptic number.

106517112 is a gapful number since it is divisible by the number (12) 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 106517112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144199440).

106517112 is an abundant number, since it is smaller than the sum of its proper divisors (181881768).

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

106517112 is a wasteful number, since it uses less digits than its factorization.

106517112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 24.

The square root of 106517112 is about 10320.7127660836. The cubic root of 106517112 is about 474.0306910997.

The spelling of 106517112 in words is "one hundred six million, five hundred seventeen thousand, one hundred twelve".