101514112 has 128 divisors (see below), whose sum is σ = 249696000. Its totient is φ = 40144896.

The previous prime is 101514107. The next prime is 101514113. The reversal of 101514112 is 211415101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×101514112² = 20610229870297088, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101514113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1140564 + ... + 1140652.

It is an arithmetic number, because the mean of its divisors is an integer number (1950750).

Almost surely, 2^101514112 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 101514112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124848000).

101514112 is an abundant number, since it is smaller than the sum of its proper divisors (148181888).

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

101514112 is an equidigital number, since it uses as much as digits as its factorization.

101514112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 16.

The square root of 101514112 is about 10075.4211822633. The cubic root of 101514112 is about 466.4897869344.

Adding to 101514112 its reverse (211415101), we get a palindrome (312929213).

The spelling of 101514112 in words is "one hundred one million, five hundred fourteen thousand, one hundred twelve".