102151456 has 48 divisors (see below), whose sum is σ = 226981440. Its totient is φ = 44826880.

The previous prime is 102151451. The next prime is 102151457. The reversal of 102151456 is 654151201.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 102151456.

It is not an unprimeable number, because it can be changed into a prime (102151451) 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 7 ways as a sum of consecutive naturals, for example, 5205 + ... + 15211.

It is an arithmetic number, because the mean of its divisors is an integer number (4728780).

Almost surely, 2^102151456 is an apocalyptic number.

102151456 is a gapful number since it is divisible by the number (16) 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 102151456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113490720).

102151456 is an abundant number, since it is smaller than the sum of its proper divisors (124829984).

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

102151456 is a wasteful number, since it uses less digits than its factorization.

102151456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10057 (or 10049 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The square root of 102151456 is about 10107.0003462946. Note that the first 3 decimals coincide. The cubic root of 102151456 is about 467.4640173627.

The spelling of 102151456 in words is "one hundred two million, one hundred fifty-one thousand, four hundred fifty-six".