101145960 has 96 divisors (see below), whose sum is σ = 330670080. Its totient is φ = 26812800.

The previous prime is 101145959. The next prime is 101145983. The reversal of 101145960 is 69541101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68025 + ... + 69495.

It is an arithmetic number, because the mean of its divisors is an integer number (3444480).

Almost surely, 2^101145960 is an apocalyptic number.

101145960 is a gapful number since it is divisible by the number (10) 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 101145960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165335040).

101145960 is an abundant number, since it is smaller than the sum of its proper divisors (229524120).

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

101145960 is a wasteful number, since it uses less digits than its factorization.

101145960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 101145960 is about 10057.1347808409. The cubic root of 101145960 is about 465.9251784801.

It can be divided in two parts, 1011 and 45960, that added together give a triangular number (46971 = T₃₀₆).

The spelling of 101145960 in words is "one hundred one million, one hundred forty-five thousand, nine hundred sixty".