102669120 has 280 divisors, whose sum is σ = 388354824. Its totient is φ = 25657344.

The previous prime is 102669113. The next prime is 102669143. The reversal of 102669120 is 21966201.

It can be written as a sum of positive squares in 4 ways, for example, as 9585216 + 93083904 = 3096^2 + 9648^2 .

It is a super-4 number, since 4×102669120⁴ (a number of 33 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 440524 + ... + 440756.

Almost surely, 2^102669120 is an apocalyptic number.

102669120 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 102669120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194177412).

102669120 is an abundant number, since it is smaller than the sum of its proper divisors (285685704).

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

102669120 is a wasteful number, since it uses less digits than its factorization.

102669120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 102669120 is about 10132.5771647691. The cubic root of 102669120 is about 468.2523294115.

The spelling of 102669120 in words is "one hundred two million, six hundred sixty-nine thousand, one hundred twenty".