105486662248900 has 27 divisors (see below), whose sum is σ = 228906279953869. Its totient is φ = 42194623816880.

The previous prime is 105486662248897. The next prime is 105486662248907. The reversal of 105486662248900 is 9842266684501.

It is a happy number.

The square root of 105486662248900 is 10270670.

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., 37975198409604 + 67511463839296 = 6162402^2 + 8216536^2 .

It is a super-2 number, since 2×105486662248900² (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 (105486662248907) 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, 102193167 + ... + 103220233.

Almost surely, 2^{105486662248900} is an apocalyptic number.

105486662248900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105486662248900 is the 10270670-th square number.

It is an amenable number.

105486662248900 is an abundant number, since it is smaller than the sum of its proper divisors (123419617704969).

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

105486662248900 is an frugal number, since it uses more digits than its factorization.

105486662248900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2054148 (or 1027074 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 61.

The spelling of 105486662248900 in words is "one hundred five trillion, four hundred eighty-six billion, six hundred sixty-two million, two hundred forty-eight thousand, nine hundred".