103212270510336 has 1053 divisors, whose sum is σ = 339701184914301. Its totient is φ = 31283627341824.

The previous prime is 103212270510313. The next prime is 103212270510353. The reversal of 103212270510336 is 633015072212301.

The square root of 103212270510336 is 10159344.

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

103212270510336 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 1 + 2 + 270 + 51 + 0 + 336 = 666.

103212270510336 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 15268087353600 + 87944183156736 = 3907440^2 + 9377856^2 .

It is a tau number, because it is divible by the number of its divisors (1053).

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

It is a self number, because there is not a number n which added to its sum of digits gives 103212270510336.

It is an unprimeable number.

It is a polite number, since it can be written in 116 ways as a sum of consecutive naturals, for example, 1540481649375 + ... + 1540481649441.

Almost surely, 2^{103212270510336} is an apocalyptic number.

103212270510336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

103212270510336 is the 10159344-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103212270510336

103212270510336 is an abundant number, since it is smaller than the sum of its proper divisors (236488914403965).

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

103212270510336 is an frugal number, since it uses more digits than its factorization.

103212270510336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

103212270510336 divided by its sum of digits (36) gives a square (2867007514176 = 1693224²).

The spelling of 103212270510336 in words is "one hundred three trillion, two hundred twelve billion, two hundred seventy million, five hundred ten thousand, three hundred thirty-six".