102707220 has 288 divisors, whose sum is σ = 377524224. Its totient is φ = 20401920.

The previous prime is 102707219. The next prime is 102707221. The reversal of 102707220 is 22707201.

102707220 = T₁₉₀₅ + T₁₉₀₆ + ... + T₁₉₅₉.

It is an interprime number because it is at equal distance from previous prime (102707219) and next prime (102707221).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102707221) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2185237 + ... + 2185283.

It is an arithmetic number, because the mean of its divisors is an integer number (1310848).

Almost surely, 2^102707220 is an apocalyptic number.

102707220 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 102707220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188762112).

102707220 is an abundant number, since it is smaller than the sum of its proper divisors (274817004).

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

102707220 is a wasteful number, since it uses less digits than its factorization.

102707220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 102707220 is about 10134.4570648851. The cubic root of 102707220 is about 468.3102442853.

The spelling of 102707220 in words is "one hundred two million, seven hundred seven thousand, two hundred twenty".