102465100 has 72 divisors (see below), whose sum is σ = 236096000. Its totient is φ = 38491200.

The previous prime is 102465079. The next prime is 102465107. The reversal of 102465100 is 1564201.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (102465107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 377965 + ... + 378235.

Almost surely, 2^102465100 is an apocalyptic number.

102465100 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 102465100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118048000).

102465100 is an abundant number, since it is smaller than the sum of its proper divisors (133630900).

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

102465100 is a wasteful number, since it uses less digits than its factorization.

102465100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 102465100 is about 10122.5046307720. The cubic root of 102465100 is about 467.9419595882.

The spelling of 102465100 in words is "one hundred two million, four hundred sixty-five thousand, one hundred".