101261160 has 384 divisors, whose sum is σ = 443439360. Its totient is φ = 19353600.

The previous prime is 101261141. The next prime is 101261161. The reversal of 101261160 is 61162101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101261161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 360220 + ... + 360500.

It is an arithmetic number, because the mean of its divisors is an integer number (1154790).

Almost surely, 2^101261160 is an apocalyptic number.

101261160 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 101261160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221719680).

101261160 is an abundant number, since it is smaller than the sum of its proper divisors (342178200).

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

101261160 is a wasteful number, since it uses less digits than its factorization.

101261160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 101261160 is about 10062.8604283275. The cubic root of 101261160 is about 466.1019995675.

The spelling of 101261160 in words is "one hundred one million, two hundred sixty-one thousand, one hundred sixty".