102471600 has 240 divisors, whose sum is σ = 409616640. Its totient is φ = 21273600.

The previous prime is 102471571. The next prime is 102471619. The reversal of 102471600 is 6174201.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91846 + ... + 92954.

It is an arithmetic number, because the mean of its divisors is an integer number (1706736).

Almost surely, 2^102471600 is an apocalyptic number.

102471600 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 102471600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204808320).

102471600 is an abundant number, since it is smaller than the sum of its proper divisors (307145040).

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

102471600 is a wasteful number, since it uses less digits than its factorization.

102471600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1137 counting only the distinct ones).

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

The square root of 102471600 is about 10122.8256924635. The cubic root of 102471600 is about 467.9518542041.

The spelling of 102471600 in words is "one hundred two million, four hundred seventy-one thousand, six hundred".