102007380 has 48 divisors (see below), whose sum is σ = 288308160. Its totient is φ = 26946048.

The previous prime is 102007379. The next prime is 102007393. The reversal of 102007380 is 83700201.

102007380 is a modest number, since divided by 7380 gives 1020 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1525 + ... + 14364.

It is an arithmetic number, because the mean of its divisors is an integer number (6006420).

Almost surely, 2^102007380 is an apocalyptic number.

102007380 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 102007380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144154080).

102007380 is an abundant number, since it is smaller than the sum of its proper divisors (186300780).

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

102007380 is a wasteful number, since it uses less digits than its factorization.

102007380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16008 (or 16006 counting only the distinct ones).

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

The square root of 102007380 is about 10099.8702961969. The cubic root of 102007380 is about 467.2441411213.

Adding to 102007380 its reverse (83700201), we get a palindrome (185707581).

The spelling of 102007380 in words is "one hundred two million, seven thousand, three hundred eighty".