101284335504 has 135 divisors (see below), whose sum is σ = 311696033467. Its totient is φ = 30679492800.

The previous prime is 101284335491. The next prime is 101284335533. The reversal of 101284335504 is 405533482101.

The square root of 101284335504 is 318252.

It is a perfect power (a square), and thus also a powerful number.

101284335504 is a `hidden beast` number, since 10 + 12 + 84 + 3 + 3 + 550 + 4 = 666.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 42008059 + ... + 42010469.

Almost surely, 2^101284335504 is an apocalyptic number.

101284335504 is the 318252-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101284335504

101284335504 is an abundant number, since it is smaller than the sum of its proper divisors (210411697963).

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

101284335504 is an equidigital number, since it uses as much as digits as its factorization.

101284335504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4858 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Multiplying 101284335504 by its sum of digits (36), we get a square (3646236078144 = 1909512²).

101284335504 divided by its sum of digits (36) gives a square (2813453764 = 53042²).

The spelling of 101284335504 in words is "one hundred one billion, two hundred eighty-four million, three hundred thirty-five thousand, five hundred four".