102068100 has 90 divisors (see below), whose sum is σ = 330890714. Its totient is φ = 27216000.

The previous prime is 102068077. The next prime is 102068101. The reversal of 102068100 is 1860201.

It can be written as a sum of positive squares in 3 ways, for example, as 2985984 + 99082116 = 1728^2 + 9954^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×102068100² = 20835794075220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102068101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1800 + ... + 14400.

Almost surely, 2^102068100 is an apocalyptic number.

102068100 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 102068100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165445357).

102068100 is an abundant number, since it is smaller than the sum of its proper divisors (228822614).

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

102068100 is a wasteful number, since it uses less digits than its factorization.

102068100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12627 (or 12611 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 102068100 is about 10102.8758281986. The cubic root of 102068100 is about 467.3368319207.

The spelling of 102068100 in words is "one hundred two million, sixty-eight thousand, one hundred".