106897610304 has 315 divisors, whose sum is σ = 335838731547. Its totient is φ = 33615896832.

The previous prime is 106897610299. The next prime is 106897610321. The reversal of 106897610304 is 403016798601.

It is a happy number.

The square root of 106897610304 is 326952.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×106897610304² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106897610304.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 447270217 + ... + 447270455.

Almost surely, 2^106897610304 is an apocalyptic number.

106897610304 is the 326952-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106897610304

106897610304 is an abundant number, since it is smaller than the sum of its proper divisors (228941121243).

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

106897610304 is an frugal number, since it uses more digits than its factorization.

106897610304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 106897610304 in words is "one hundred six billion, eight hundred ninety-seven million, six hundred ten thousand, three hundred four".