102213672 has 32 divisors (see below), whose sum is σ = 278765280. Its totient is φ = 30973760.

The previous prime is 102213649. The next prime is 102213689. The reversal of 102213672 is 276312201.

It is a super-3 number, since 3×102213672³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 7 ways as a sum of consecutive naturals, for example, 193323 + ... + 193850.

It is an arithmetic number, because the mean of its divisors is an integer number (8711415).

Almost surely, 2^102213672 is an apocalyptic number.

102213672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102213672 is an abundant number, since it is smaller than the sum of its proper divisors (176551608).

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

102213672 is a wasteful number, since it uses less digits than its factorization.

102213672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387193 (or 387189 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 102213672 is about 10110.0777445082. The cubic root of 102213672 is about 467.5589020887.

Adding to 102213672 its reverse (276312201), we get a palindrome (378525873).

The spelling of 102213672 in words is "one hundred two million, two hundred thirteen thousand, six hundred seventy-two".