1083937101129 has 9 divisors (see below), whose sum is σ = 1565691435399. Its totient is φ = 722622651840.

The previous prime is 1083937101119. The next prime is 1083937101157. The reversal of 1083937101129 is 9211017393801.

It is a happy number.

The square root of 1083937101129 is 1041123.

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

It can be written as a sum of positive squares in only one way, i.e., 233262918729 + 850674182400 = 482973^2 + 922320^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 1083937101129 - 2⁵ = 1083937101097 is a prime.

It is a super-3 number, since 3×1083937101129³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1083937101119) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2949849 + ... + 3296889.

Almost surely, 2^{1083937101129} is an apocalyptic number.

1083937101129 is the 1041123-rd square number.

1083937101129 is the 520562-nd centered octagonal number.

It is an amenable number.

1083937101129 is a deficient number, since it is larger than the sum of its proper divisors (481754334270).

1083937101129 is an frugal number, since it uses more digits than its factorization.

1083937101129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694088 (or 347044 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 1083937101129 in words is "one trillion, eighty-three billion, nine hundred thirty-seven million, one hundred one thousand, one hundred twenty-nine".