102411900 has 216 divisors, whose sum is σ = 347321520. Its totient is φ = 25159680.

The previous prime is 102411899. The next prime is 102411901. The reversal of 102411900 is 9114201.

It is an interprime number because it is at equal distance from previous prime (102411899) and next prime (102411901).

It is a super-2 number, since 2×102411900² = 20976394523220000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102411901) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 906244 + ... + 906356.

It is an arithmetic number, because the mean of its divisors is an integer number (1607970).

Almost surely, 2^102411900 is an apocalyptic number.

102411900 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 102411900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173660760).

102411900 is an abundant number, since it is smaller than the sum of its proper divisors (244909620).

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

102411900 is a wasteful number, since it uses less digits than its factorization.

102411900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 102411900 is about 10119.8764814596. The cubic root of 102411900 is about 467.8609602304.

The spelling of 102411900 in words is "one hundred two million, four hundred eleven thousand, nine hundred".