102309480 has 320 divisors, whose sum is σ = 424448640. Its totient is φ = 21523968.

The previous prime is 102309479. The next prime is 102309491. The reversal of 102309480 is 84903201.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 294667 + ... + 295013.

It is an arithmetic number, because the mean of its divisors is an integer number (1326402).

Almost surely, 2^102309480 is an apocalyptic number.

102309480 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 102309480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212224320).

102309480 is an abundant number, since it is smaller than the sum of its proper divisors (322139160).

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

102309480 is a wasteful number, since it uses less digits than its factorization.

102309480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 102309480 is about 10114.8148771987. The cubic root of 102309480 is about 467.7049422205.

The spelling of 102309480 in words is "one hundred two million, three hundred nine thousand, four hundred eighty".