101066112 has 192 divisors, whose sum is σ = 338607360. Its totient is φ = 28339200.

The previous prime is 101066099. The next prime is 101066137. The reversal of 101066112 is 211660101.

101066112 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 661 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 669237 + ... + 669387.

It is an arithmetic number, because the mean of its divisors is an integer number (1763580).

Almost surely, 2^101066112 is an apocalyptic number.

101066112 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 101066112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169303680).

101066112 is an abundant number, since it is smaller than the sum of its proper divisors (237541248).

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

101066112 is a wasteful number, since it uses less digits than its factorization.

101066112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 101066112 is about 10053.1642779774. The cubic root of 101066112 is about 465.8025405689.

The spelling of 101066112 in words is "one hundred one million, sixty-six thousand, one hundred twelve".