101053461306240 has 512 divisors, whose sum is σ = 361605928320000. Its totient is φ = 26668719120384.

The previous prime is 101053461306229. The next prime is 101053461306277. The reversal of 101053461306240 is 42603164350101.

101053461306240 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 5 + 34 + 613 + 0 + 6 + 2 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 101053461306195 and 101053461306204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2881543426 + ... + 2881578494.

It is an arithmetic number, because the mean of its divisors is an integer number (706261578750).

Almost surely, 2^{101053461306240} is an apocalyptic number.

101053461306240 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 101053461306240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180802964160000).

101053461306240 is an abundant number, since it is smaller than the sum of its proper divisors (260552467013760).

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

101053461306240 is a wasteful number, since it uses less digits than its factorization.

101053461306240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36819 (or 36801 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 101053461306240 in words is "one hundred one trillion, fifty-three billion, four hundred sixty-one million, three hundred six thousand, two hundred forty".