106050112 has 56 divisors (see below), whose sum is σ = 245465600. Its totient is φ = 45440640.

The previous prime is 106050107. The next prime is 106050127. The reversal of 106050112 is 211050601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×106050112² = 22493252510425088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19537 + ... + 24367.

Almost surely, 2^106050112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106050112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122732800).

106050112 is an abundant number, since it is smaller than the sum of its proper divisors (139415488).

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

106050112 is an frugal number, since it uses more digits than its factorization.

106050112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4864 (or 4840 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 106050112 is about 10298.0635072814. The cubic root of 106050112 is about 473.3369163695.

The spelling of 106050112 in words is "one hundred six million, fifty thousand, one hundred twelve".