109180019776 has 63 divisors (see below), whose sum is σ = 219324902853. Its totient is φ = 53925196800.

The previous prime is 109180019737. The next prime is 109180019777. The reversal of 109180019776 is 677910081901.

The square root of 109180019776 is 330424.

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., 108093658176 + 1086361600 = 328776^2 + 32960^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (109180019777) 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, 272269176 + ... + 272269576.

Almost surely, 2^109180019776 is an apocalyptic number.

109180019776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

109180019776 is the 330424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109180019776

109180019776 is an abundant number, since it is smaller than the sum of its proper divisors (110144883077).

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

109180019776 is an frugal number, since it uses more digits than its factorization.

109180019776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 49.

Multiplying 109180019776 by its sum of digits (49), we get a square (5349820969024 = 2312968²).

The spelling of 109180019776 in words is "one hundred nine billion, one hundred eighty million, nineteen thousand, seven hundred seventy-six".