102900096 has 96 divisors (see below), whose sum is σ = 318929520. Its totient is φ = 31656960.

The previous prime is 102900059. The next prime is 102900101. The reversal of 102900096 is 690009201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11541 + ... + 18411.

Almost surely, 2^102900096 is an apocalyptic number.

102900096 is a gapful number since it is divisible by the number (16) 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 102900096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159464760).

102900096 is an abundant number, since it is smaller than the sum of its proper divisors (216029424).

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

102900096 is a wasteful number, since it uses less digits than its factorization.

102900096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6904 (or 6889 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 102900096 is about 10143.9684542096. The cubic root of 102900096 is about 468.6032107844.

Adding to 102900096 its reverse (690009201), we get a palindrome (792909297).

The spelling of 102900096 in words is "one hundred two million, nine hundred thousand, ninety-six".