10154081783209 has 135 divisors (see below), whose sum is σ = 13641582806037. Its totient is φ = 7532691199488.

The previous prime is 10154081783207. The next prime is 10154081783239. The reversal of 10154081783209 is 90238718045101.

The square root of 10154081783209 is 3186547.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1855188374809 + 8298893408400 = 1362053^2 + 2880780^2 .

It is not a de Polignac number, because 10154081783209 - 2¹ = 10154081783207 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (10154081783207) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 104681255449 + ... + 104681255545.

Almost surely, 2^{10154081783209} is an apocalyptic number.

10154081783209 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

10154081783209 is the 3186547-th square number.

10154081783209 is the 1593274-th centered octagonal number.

It is an amenable number.

10154081783209 is a deficient number, since it is larger than the sum of its proper divisors (3487501022828).

10154081783209 is an frugal number, since it uses more digits than its factorization.

10154081783209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 49.

Multiplying 10154081783209 by its sum of digits (49), we get a square (497550007377241 = 22305829²).

10154081783209 divided by its sum of digits (49) gives a square (207226158841 = 455221²).

The spelling of 10154081783209 in words is "ten trillion, one hundred fifty-four billion, eighty-one million, seven hundred eighty-three thousand, two hundred nine".