66152100 has 216 divisors, whose sum is σ = 234498880. Its totient is φ = 14100480.

The previous prime is 66152081. The next prime is 66152111. The reversal of 66152100 is 125166.

It is a happy number.

It is a super-2 number, since 2×66152100² = 8752200668820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 606846 + ... + 606954.

Almost surely, 2^66152100 is an apocalyptic number.

66152100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66152100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117249440).

66152100 is an abundant number, since it is smaller than the sum of its proper divisors (168346780).

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

66152100 is a wasteful number, since it uses less digits than its factorization.

66152100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 66152100 is about 8133.3941254559. The cubic root of 66152100 is about 404.4342046028.

Adding to 66152100 its reverse (125166), we get a palindrome (66277266).

The spelling of 66152100 in words is "sixty-six million, one hundred fifty-two thousand, one hundred".