106652740896 has 72 divisors (see below), whose sum is σ = 326624030460. Its totient is φ = 32816226816.

The previous prime is 106652740877. The next prime is 106652740903. The reversal of 106652740896 is 698047256601.

106652740896 is a `hidden beast` number, since 10 + 66 + 527 + 40 + 8 + 9 + 6 = 666.

106652740896 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 86414833296 + 20237907600 = 293964^2 + 142260^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×106652740896² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14239411 + ... + 14246898.

Almost surely, 2^106652740896 is an apocalyptic number.

106652740896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106652740896 is an abundant number, since it is smaller than the sum of its proper divisors (219971289564).

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

106652740896 is a wasteful number, since it uses less digits than its factorization.

106652740896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28486338 (or 28486327 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 106652740896 in words is "one hundred six billion, six hundred fifty-two million, seven hundred forty thousand, eight hundred ninety-six".