102936120 has 256 divisors, whose sum is σ = 376012800. Its totient is φ = 22049280.

The previous prime is 102936077. The next prime is 102936137. The reversal of 102936120 is 21639201.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1536327 + ... + 1536393.

It is an arithmetic number, because the mean of its divisors is an integer number (1468800).

Almost surely, 2^102936120 is an apocalyptic number.

102936120 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 102936120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188006400).

102936120 is an abundant number, since it is smaller than the sum of its proper divisors (273076680).

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

102936120 is a wasteful number, since it uses less digits than its factorization.

102936120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 102936120 is about 10145.7439352666. The cubic root of 102936120 is about 468.6578883897.

The spelling of 102936120 in words is "one hundred two million, nine hundred thirty-six thousand, one hundred twenty".