102100000 has 72 divisors (see below), whose sum is σ = 251491716. Its totient is φ = 40800000.

The previous prime is 102099997. The next prime is 102100001. The reversal of 102100000 is 1201.

102100000 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 6 ways, for example, as 9709456 + 92390544 = 3116^2 + 9612^2 .

It is a Harshad number since it is a multiple of its sum of digits (4).

It is not an unprimeable number, because it can be changed into a prime (102100001) 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 11 ways as a sum of consecutive naturals, for example, 99490 + ... + 100510.

Almost surely, 2^102100000 is an apocalyptic number.

102100000 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 102100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125745858).

102100000 is an abundant number, since it is smaller than the sum of its proper divisors (149391716).

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

102100000 is an frugal number, since it uses more digits than its factorization.

102100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 102100000 is about 10104.4544632553. The cubic root of 102100000 is about 467.3855134452.

Adding to 102100000 its reverse (1201), we get a palindrome (102101201).

The spelling of 102100000 in words is "one hundred two million, one hundred thousand".