100850069761 has 15 divisors (see below), whose sum is σ = 117669570243. Its totient is φ = 86429579040.

The previous prime is 100850069713. The next prime is 100850069783. The reversal of 100850069761 is 167960058001.

It is a happy number.

The square root of 100850069761 is 317569.

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

It can be written as a sum of positive squares in only one way, i.e., 95871356161 + 4978713600 = 309631^2 + 70560^2 .

It is not a de Polignac number, because 100850069761 - 2¹³ = 100850061569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100850069261) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 15557641 + ... + 15564121.

Almost surely, 2^100850069761 is an apocalyptic number.

100850069761 is the 317569-th square number.

100850069761 is the 158785-th centered octagonal number.

It is an amenable number.

100850069761 is a deficient number, since it is larger than the sum of its proper divisors (16819500482).

100850069761 is an frugal number, since it uses more digits than its factorization.

100850069761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12990 (or 6488 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 43.

The spelling of 100850069761 in words is "one hundred billion, eight hundred fifty million, sixty-nine thousand, seven hundred sixty-one".