101244245760 has 360 divisors, whose sum is σ = 414026311776. Its totient is φ = 23141376000.

The previous prime is 101244245737. The next prime is 101244245831. The reversal of 101244245760 is 67542442101.

101244245760 is a `hidden beast` number, since 1 + 0 + 124 + 424 + 57 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×101244245760² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 656010 + ... + 795510.

Almost surely, 2^101244245760 is an apocalyptic number.

101244245760 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 101244245760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207013155888).

101244245760 is an abundant number, since it is smaller than the sum of its proper divisors (312782066016).

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

101244245760 is an equidigital number, since it uses as much as digits as its factorization.

101244245760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139541 (or 139518 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 101244245760 its reverse (67542442101), we get a palindrome (168786687861).

The spelling of 101244245760 in words is "one hundred one billion, two hundred forty-four million, two hundred forty-five thousand, seven hundred sixty".