102920805 has 96 divisors (see below), whose sum is σ = 207567360. Its totient is φ = 46725120.

The previous prime is 102920803. The next prime is 102920813. The reversal of 102920805 is 508029201.

It is not a de Polignac number, because 102920805 - 2¹ = 102920803 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102920803) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 785590 + ... + 785720.

It is an arithmetic number, because the mean of its divisors is an integer number (2162160).

Almost surely, 2^102920805 is an apocalyptic number.

102920805 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102920805 is an abundant number, since it is smaller than the sum of its proper divisors (104646555).

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

102920805 is a wasteful number, since it uses less digits than its factorization.

102920805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 102920805 is about 10144.9891572145. The cubic root of 102920805 is about 468.6346446810.

The spelling of 102920805 in words is "one hundred two million, nine hundred twenty thousand, eight hundred five".