21934100 has 36 divisors (see below), whose sum is σ = 47801628. Its totient is φ = 8736000.

The previous prime is 21934093. The next prime is 21934127. The reversal of 21934100 is 143912.

It can be written as a sum of positive squares in 6 ways, for example, as 7203856 + 14730244 = 2684^2 + 3838^2 .

It is a super-2 number, since 2×21934100² = 962209485620000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41840 + ... + 42360.

It is an arithmetic number, because the mean of its divisors is an integer number (1327823).

Almost surely, 2^21934100 is an apocalyptic number.

21934100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21934100 is an abundant number, since it is smaller than the sum of its proper divisors (25867528).

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

21934100 is a wasteful number, since it uses less digits than its factorization.

21934100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 21934100 is about 4683.3855275858. The cubic root of 21934100 is about 279.9238738626.

The spelling of 21934100 in words is "twenty-one million, nine hundred thirty-four thousand, one hundred".