106269537086592 has 256 divisors, whose sum is σ = 313197905318400. Its totient is φ = 31653192089600.

The previous prime is 106269537086591. The next prime is 106269537086623. The reversal of 106269537086592 is 295680735962601.

It is a super-2 number, since 2×106269537086592² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106269537086591) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2514817528 + ... + 2514859784.

It is an arithmetic number, because the mean of its divisors is an integer number (1223429317650).

Almost surely, 2^{106269537086592} is an apocalyptic number.

106269537086592 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106269537086592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156598952659200).

106269537086592 is an abundant number, since it is smaller than the sum of its proper divisors (206928368231808).

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

106269537086592 is a wasteful number, since it uses less digits than its factorization.

106269537086592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52435 (or 52423 counting only the distinct ones).

The product of its (nonzero) digits is 293932800, while the sum is 69.

The spelling of 106269537086592 in words is "one hundred six trillion, two hundred sixty-nine billion, five hundred thirty-seven million, eighty-six thousand, five hundred ninety-two".