102261420 has 96 divisors (see below), whose sum is σ = 334924800. Its totient is φ = 25831872.

The previous prime is 102261413. The next prime is 102261431. The reversal of 102261420 is 24162201.

102261420 is a `hidden beast` number, since 10 + 22 + 614 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102261393 and 102261402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5277 + ... + 15243.

It is an arithmetic number, because the mean of its divisors is an integer number (3488800).

Almost surely, 2^102261420 is an apocalyptic number.

102261420 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 102261420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167462400).

102261420 is an abundant number, since it is smaller than the sum of its proper divisors (232663380).

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

102261420 is a wasteful number, since it uses less digits than its factorization.

102261420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10004 (or 9996 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 102261420 is about 10112.4388749698. The cubic root of 102261420 is about 467.6316957657.

The spelling of 102261420 in words is "one hundred two million, two hundred sixty-one thousand, four hundred twenty".