102022416 has 50 divisors (see below), whose sum is σ = 295286222. Its totient is φ = 34007040.

The previous prime is 102022409. The next prime is 102022421. The reversal of 102022416 is 614220201.

It can be written as a sum of positive squares in only one way, i.e., 90326016 + 11696400 = 9504^2 + 3420^2 .

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

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 9 ways as a sum of consecutive naturals, for example, 38065 + ... + 40656.

Almost surely, 2^102022416 is an apocalyptic number.

102022416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102022416 is an abundant number, since it is smaller than the sum of its proper divisors (193263806).

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

102022416 is an equidigital number, since it uses as much as digits as its factorization.

102022416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78741 (or 78726 counting only the distinct ones).

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

The square root of 102022416 is about 10100.6146347636. The cubic root of 102022416 is about 467.2670974268.

Adding to 102022416 its reverse (614220201), we get a palindrome (716242617).

It can be divided in two parts, 1020 and 22416, that added together give a triangular number (23436 = T₂₁₆).

The spelling of 102022416 in words is "one hundred two million, twenty-two thousand, four hundred sixteen".