101260368 has 100 divisors (see below), whose sum is σ = 319765248. Its totient is φ = 30680640.

The previous prime is 101260349. The next prime is 101260429. The reversal of 101260368 is 863062101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10705 + ... + 17807.

Almost surely, 2^101260368 is an apocalyptic number.

101260368 is a gapful number since it is divisible by the number (18) 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 101260368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159882624).

101260368 is an abundant number, since it is smaller than the sum of its proper divisors (218504880).

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

101260368 is a wasteful number, since it uses less digits than its factorization.

101260368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7134 (or 7119 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 101260368 is about 10062.8210756229. The cubic root of 101260368 is about 466.1007843805.

The spelling of 101260368 in words is "one hundred one million, two hundred sixty thousand, three hundred sixty-eight".