102667420 has 48 divisors (see below), whose sum is σ = 231553728. Its totient is φ = 38097920.

The previous prime is 102667417. The next prime is 102667421. The reversal of 102667420 is 24766201.

It is a super-4 number, since 4×102667420⁴ (a number of 33 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102667421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22014 + ... + 26266.

It is an arithmetic number, because the mean of its divisors is an integer number (4824036).

Almost surely, 2^102667420 is an apocalyptic number.

102667420 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 102667420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115776864).

102667420 is an abundant number, since it is smaller than the sum of its proper divisors (128886308).

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

102667420 is a wasteful number, since it uses less digits than its factorization.

102667420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4350 (or 4348 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 102667420 is about 10132.4932765830. The cubic root of 102667420 is about 468.2497449494.

The spelling of 102667420 in words is "one hundred two million, six hundred sixty-seven thousand, four hundred twenty".