101013760 has 72 divisors (see below), whose sum is σ = 246690360. Its totient is φ = 39616512.

The previous prime is 101013727. The next prime is 101013767. The reversal of 101013760 is 67310101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7929856 + 93083904 = 2816^2 + 9648^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101013767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67096 + ... + 68584.

It is an arithmetic number, because the mean of its divisors is an integer number (3426255).

Almost surely, 2^101013760 is an apocalyptic number.

101013760 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 101013760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123345180).

101013760 is an abundant number, since it is smaller than the sum of its proper divisors (145676600).

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

101013760 is an equidigital number, since it uses as much as digits as its factorization.

101013760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1563 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 101013760 is about 10050.5601833928. The cubic root of 101013760 is about 465.7220984837.

Adding to 101013760 its reverse (67310101), we get a palindrome (168323861).

It can be divided in two parts, 10101 and 3760, that added together give a triangular number (13861 = T₁₆₆).

The spelling of 101013760 in words is "one hundred one million, thirteen thousand, seven hundred sixty".