102357120 has 128 divisors (see below), whose sum is σ = 330480000. Its totient is φ = 26943488.

The previous prime is 102357113. The next prime is 102357127. The reversal of 102357120 is 21753201.

It is an interprime number because it is at equal distance from previous prime (102357113) and next prime (102357127).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (102357127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170581 + ... + 171179.

It is an arithmetic number, because the mean of its divisors is an integer number (2581875).

Almost surely, 2^102357120 is an apocalyptic number.

102357120 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 102357120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165240000).

102357120 is an abundant number, since it is smaller than the sum of its proper divisors (228122880).

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

102357120 is an equidigital number, since it uses as much as digits as its factorization.

102357120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 102357120 is about 10117.1695646559. The cubic root of 102357120 is about 467.7775259339. Note that the first 3 decimals are identical.

The spelling of 102357120 in words is "one hundred two million, three hundred fifty-seven thousand, one hundred twenty".