101145114 has 72 divisors (see below), whose sum is σ = 261238068. Its totient is φ = 28183680.

The previous prime is 101145089. The next prime is 101145131. The reversal of 101145114 is 411541101.

It can be written as a sum of positive squares in 2 ways, for example, as 98664489 + 2480625 = 9933^2 + 1575^2 .

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 35 ways as a sum of consecutive naturals, for example, 34764 + ... + 37560.

Almost surely, 2^101145114 is an apocalyptic number.

101145114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101145114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130619034).

101145114 is an abundant number, since it is smaller than the sum of its proper divisors (160092954).

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

101145114 is a wasteful number, since it uses less digits than its factorization.

101145114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2860 (or 2850 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 101145114 is about 10057.0927210601. The cubic root of 101145114 is about 465.9238794537.

Adding to 101145114 its reverse (411541101), we get a palindrome (512686215).

The spelling of 101145114 in words is "one hundred one million, one hundred forty-five thousand, one hundred fourteen".