102405870 has 80 divisors (see below), whose sum is σ = 314712288. Its totient is φ = 23405760.

The previous prime is 102405869. The next prime is 102405871. The reversal of 102405870 is 78504201.

It is an interprime number because it is at equal distance from previous prime (102405869) and next prime (102405871).

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102405871) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3361 + ... + 14700.

Almost surely, 2^102405870 is an apocalyptic number.

102405870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102405870 is an abundant number, since it is smaller than the sum of its proper divisors (212306418).

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

102405870 is a wasteful number, since it uses less digits than its factorization.

102405870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18087 (or 18078 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 102405870 is about 10119.5785485365. The cubic root of 102405870 is about 467.8517775183.

It can be divided in two parts, 10240 and 5870, that added together give a triangular number (16110 = T₁₇₉).

The spelling of 102405870 in words is "one hundred two million, four hundred five thousand, eight hundred seventy".