83101106137830 has 256 divisors, whose sum is σ = 230946712289280. Its totient is φ = 18937869350400.

The previous prime is 83101106137813. The next prime is 83101106137873. The reversal of 83101106137830 is 3873160110138.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1711953360 + ... + 1712001900.

It is an arithmetic number, because the mean of its divisors is an integer number (902135594880).

Almost surely, 2^{83101106137830} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83101106137830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115473356144640).

83101106137830 is an abundant number, since it is smaller than the sum of its proper divisors (147845606151450).

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

83101106137830 is a wasteful number, since it uses less digits than its factorization.

83101106137830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52467.

The product of its (nonzero) digits is 72576, while the sum is 42.

Adding to 83101106137830 its reverse (3873160110138), we get a palindrome (86974266247968).

The spelling of 83101106137830 in words is "eighty-three trillion, one hundred one billion, one hundred six million, one hundred thirty-seven thousand, eight hundred thirty".