101245760 has 168 divisors, whose sum is σ = 306470304. Its totient is φ = 31503360.

The previous prime is 101245759. The next prime is 101245763. The reversal of 101245760 is 67542101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101245763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172187 + ... + 172773.

It is an arithmetic number, because the mean of its divisors is an integer number (1824228).

Almost surely, 2^101245760 is an apocalyptic number.

101245760 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 101245760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153235152).

101245760 is an abundant number, since it is smaller than the sum of its proper divisors (205224544).

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

101245760 is a wasteful number, since it uses less digits than its factorization.

101245760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 101245760 is about 10062.0952092494. The cubic root of 101245760 is about 466.0783697944.

Adding to 101245760 its reverse (67542101), we get a palindrome (168787861).

The spelling of 101245760 in words is "one hundred one million, two hundred forty-five thousand, seven hundred sixty".