102453120 has 576 divisors, whose sum is σ = 463957200. Its totient is φ = 21288960.

The previous prime is 102453107. The next prime is 102453157. The reversal of 102453120 is 21354201.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102453093 and 102453102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9313915 + ... + 9313925.

Almost surely, 2^102453120 is an apocalyptic number.

102453120 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 102453120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231978600).

102453120 is an abundant number, since it is smaller than the sum of its proper divisors (361504080).

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

102453120 is a wasteful number, since it uses less digits than its factorization.

102453120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 102453120 is about 10121.9128626955. The cubic root of 102453120 is about 467.9237219536.

The spelling of 102453120 in words is "one hundred two million, four hundred fifty-three thousand, one hundred twenty".