102213906480 has 320 divisors, whose sum is σ = 407338214400. Its totient is φ = 23362898688.

The previous prime is 102213906463. The next prime is 102213906497. The reversal of 102213906480 is 84609312201.

102213906480 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 1 + 3 + 9 + 0 + 648 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (102213906463) and next prime (102213906497).

It is a super-3 number, since 3×102213906480³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1182991 + ... + 1266449.

It is an arithmetic number, because the mean of its divisors is an integer number (1272931920).

Almost surely, 2^102213906480 is an apocalyptic number.

102213906480 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 102213906480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203669107200).

102213906480 is an abundant number, since it is smaller than the sum of its proper divisors (305124307920).

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

102213906480 is an frugal number, since it uses more digits than its factorization.

102213906480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83500 (or 83476 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 102213906480 in words is "one hundred two billion, two hundred thirteen million, nine hundred six thousand, four hundred eighty".