105698755380100 has 27 divisors (see below), whose sum is σ = 229366522272517. Its totient is φ = 42279461028080.

The previous prime is 105698755380067. The next prime is 105698755380107. The reversal of 105698755380100 is 1083557896501.

The square root of 105698755380100 is 10280990.

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., 38051551936836 + 67647203443264 = 6168594^2 + 8224792^2 .

It is a super-2 number, since 2×105698755380100² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105698755380107) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 102295851 + ... + 103323949.

Almost surely, 2^{105698755380100} is an apocalyptic number.

105698755380100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105698755380100 is the 10280990-th square number.

It is an amenable number.

105698755380100 is an abundant number, since it is smaller than the sum of its proper divisors (123667766892417).

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

105698755380100 is an frugal number, since it uses more digits than its factorization.

105698755380100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2056212 (or 1028106 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 58.

The spelling of 105698755380100 in words is "one hundred five trillion, six hundred ninety-eight billion, seven hundred fifty-five million, three hundred eighty thousand, one hundred".