102146700 has 144 divisors (see below), whose sum is σ = 312480000. Its totient is φ = 25724160.

The previous prime is 102146699. The next prime is 102146701. The reversal of 102146700 is 7641201.

It is an interprime number because it is at equal distance from previous prime (102146699) and next prime (102146701).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102146701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 513201 + ... + 513399.

It is an arithmetic number, because the mean of its divisors is an integer number (2170000).

Almost surely, 2^102146700 is an apocalyptic number.

102146700 is a gapful number since it is divisible by the number (10) 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 102146700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156240000).

102146700 is an abundant number, since it is smaller than the sum of its proper divisors (210333300).

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

102146700 is a wasteful number, since it uses less digits than its factorization.

102146700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 102146700 is about 10106.7650610866. The cubic root of 102146700 is about 467.4567624706.

Adding to 102146700 its reverse (7641201), we get a palindrome (109787901).

The spelling of 102146700 in words is "one hundred two million, one hundred forty-six thousand, seven hundred".