103866448037121 has 81 divisors (see below), whose sum is σ = 191836398783393. Its totient is φ = 53955373404240.

The previous prime is 103866448037101. The next prime is 103866448037129. The reversal of 103866448037121 is 121730844668301.

The square root of 103866448037121 is 10191489.

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

103866448037121 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 6 + 6 + 4 + 480 + 37 + 121 = 666.

It is not a de Polignac number, because 103866448037121 - 2⁵ = 103866448037089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (103866448037129) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2354211900 + ... + 2354256018.

Almost surely, 2^{103866448037121} is an apocalyptic number.

103866448037121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

103866448037121 is the 10191489-th square number.

103866448037121 is the 5095745-th centered octagonal number.

It is an amenable number.

103866448037121 is a deficient number, since it is larger than the sum of its proper divisors (87969950746272).

103866448037121 is an frugal number, since it uses more digits than its factorization.

103866448037121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88280 (or 44140 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 103866448037121 in words is "one hundred three trillion, eight hundred sixty-six billion, four hundred forty-eight million, thirty-seven thousand, one hundred twenty-one".