66098100 has 36 divisors (see below), whose sum is σ = 191244704. Its totient is φ = 17626080.

The previous prime is 66098083. The next prime is 66098101. The reversal of 66098100 is 189066.

It is a super-2 number, since 2×66098100² = 8737917647220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66098101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109864 + ... + 110463.

Almost surely, 2^66098100 is an apocalyptic number.

66098100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66098100 is an abundant number, since it is smaller than the sum of its proper divisors (125146604).

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

66098100 is a wasteful number, since it uses less digits than its factorization.

66098100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220344 (or 220337 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 66098100 is about 8130.0738004030. The cubic root of 66098100 is about 404.3241280154.

The spelling of 66098100 in words is "sixty-six million, ninety-eight thousand, one hundred".