106538127696 has 720 divisors, whose sum is σ = 431512256448. Its totient is φ = 24037171200.

The previous prime is 106538127691. The next prime is 106538127743. The reversal of 106538127696 is 696721835601.

106538127696 is a `hidden beast` number, since 1 + 0 + 6 + 538 + 12 + 7 + 6 + 96 = 666.

It is a super-2 number, since 2×106538127696² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106538127691) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17150031 + ... + 17156241.

Almost surely, 2^106538127696 is an apocalyptic number.

106538127696 is a gapful number since it is divisible by the number (16) 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 106538127696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215756128224).

106538127696 is an abundant number, since it is smaller than the sum of its proper divisors (324974128752).

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

106538127696 is a wasteful number, since it uses less digits than its factorization.

106538127696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6280 (or 6264 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 106538127696 in words is "one hundred six billion, five hundred thirty-eight million, one hundred twenty-seven thousand, six hundred ninety-six".