106765562500 has 63 divisors (see below), whose sum is σ = 233725504369. Its totient is φ = 42673550000.

The previous prime is 106765562479. The next prime is 106765562539. The reversal of 106765562500 is 5265567601.

The square root of 106765562500 is 326750.

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

It can be written as a sum of positive squares in 3 ways, for example, as 93536882244 + 13228680256 = 305838^2 + 115016^2 .

It is a super-2 number, since 2×106765562500² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 81686847 + ... + 81688153.

Almost surely, 2^106765562500 is an apocalyptic number.

106765562500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106765562500 is the 326750-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106765562500

106765562500 is an abundant number, since it is smaller than the sum of its proper divisors (126959941869).

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

106765562500 is an frugal number, since it uses more digits than its factorization.

106765562500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2648 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 43.

The spelling of 106765562500 in words is "one hundred six billion, seven hundred sixty-five million, five hundred sixty-two thousand, five hundred".