21167340100 has 27 divisors (see below), whose sum is σ = 45936285367. Its totient is φ = 8466354080.

The previous prime is 21167340071. The next prime is 21167340107. The reversal of 21167340100 is 104376112.

The square root of 21167340100 is 145490.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1062368836 + 20104971264 = 32594^2 + 141792^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21167340107) 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, 1447626 + ... + 1462174.

Almost surely, 2^21167340100 is an apocalyptic number.

21167340100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

21167340100 is the 145490-th square number.

It is an amenable number.

21167340100 is an abundant number, since it is smaller than the sum of its proper divisors (24768945267).

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

21167340100 is an frugal number, since it uses more digits than its factorization.

21167340100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29112 (or 14556 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

Multiplying 21167340100 by its sum of digits (25), we get a square (529183502500 = 727450²).

21167340100 divided by its sum of digits (25) gives a square (846693604 = 29098²).

The spelling of 21167340100 in words is "twenty-one billion, one hundred sixty-seven million, three hundred forty thousand, one hundred".