101115360 has 288 divisors, whose sum is σ = 373621248. Its totient is φ = 24837120.

The previous prime is 101115353. The next prime is 101115401. The reversal of 101115360 is 63511101.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 1424125 + ... + 1424195.

It is an arithmetic number, because the mean of its divisors is an integer number (1297296).

Almost surely, 2^101115360 is an apocalyptic number.

101115360 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 101115360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186810624).

101115360 is an abundant number, since it is smaller than the sum of its proper divisors (272505888).

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

101115360 is a wasteful number, since it uses less digits than its factorization.

101115360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 101115360 is about 10055.6133577221. The cubic root of 101115360 is about 465.8781878127.

Adding to 101115360 its reverse (63511101), we get a palindrome (164626461).

It can be divided in two parts, 101115 and 360, that added together give a triangular number (101475 = T₄₅₀).

The spelling of 101115360 in words is "one hundred one million, one hundred fifteen thousand, three hundred sixty".