106752638976 has 76 divisors (see below), whose sum is σ = 284675258112. Its totient is φ = 35583950848.

The previous prime is 106752638939. The next prime is 106752638987. The reversal of 106752638976 is 679836257601.

It is a super-2 number, since 2×106752638976² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 718561 + ... + 854303.

Almost surely, 2^106752638976 is an apocalyptic number.

106752638976 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 106752638976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142337629056).

106752638976 is an abundant number, since it is smaller than the sum of its proper divisors (177922619136).

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

106752638976 is an frugal number, since it uses more digits than its factorization.

106752638976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135782 (or 135748 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 60.

The spelling of 106752638976 in words is "one hundred six billion, seven hundred fifty-two million, six hundred thirty-eight thousand, nine hundred seventy-six".