101714112 has 168 divisors, whose sum is σ = 307878480. Its totient is φ = 32071680.

The previous prime is 101714101. The next prime is 101714117. The reversal of 101714112 is 211417101.

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

It is not an unprimeable number, because it can be changed into a prime (101714117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1393308 + ... + 1393380.

It is an arithmetic number, because the mean of its divisors is an integer number (1832610).

Almost surely, 2^101714112 is an apocalyptic number.

101714112 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 101714112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153939240).

101714112 is an abundant number, since it is smaller than the sum of its proper divisors (206164368).

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

101714112 is a wasteful number, since it uses less digits than its factorization.

101714112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

The square root of 101714112 is about 10085.3414419146. The cubic root of 101714112 is about 466.7959406030.

It can be divided in two parts, 1017 and 14112, that added together give a square (15129 = 123²).

The spelling of 101714112 in words is "one hundred one million, seven hundred fourteen thousand, one hundred twelve".