101364335460 has 144 divisors (see below), whose sum is σ = 321381889920. Its totient is φ = 25811596800.

The previous prime is 101364335459. The next prime is 101364335489. The reversal of 101364335460 is 64533463101.

101364335460 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 643 + 3 + 5 + 4 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2467771 + ... + 2508509.

It is an arithmetic number, because the mean of its divisors is an integer number (2231818680).

Almost surely, 2^101364335460 is an apocalyptic number.

101364335460 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 101364335460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160690944960).

101364335460 is an abundant number, since it is smaller than the sum of its proper divisors (220017554460).

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

101364335460 is a wasteful number, since it uses less digits than its factorization.

101364335460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41378 (or 41373 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 101364335460 its reverse (64533463101), we get a palindrome (165897798561).

The spelling of 101364335460 in words is "one hundred one billion, three hundred sixty-four million, three hundred thirty-five thousand, four hundred sixty".