102472146 has 48 divisors (see below), whose sum is σ = 254761728. Its totient is φ = 29160000.

The previous prime is 102472103. The next prime is 102472147. The reversal of 102472146 is 641274201.

It is a Curzon number.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (102472147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32646 + ... + 35646.

It is an arithmetic number, because the mean of its divisors is an integer number (5307536).

Almost surely, 2^102472146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102472146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127380864).

102472146 is an abundant number, since it is smaller than the sum of its proper divisors (152289582).

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

102472146 is a wasteful number, since it uses less digits than its factorization.

102472146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3287 (or 3284 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 102472146 is about 10122.8526611820. The cubic root of 102472146 is about 467.9526853328.

The spelling of 102472146 in words is "one hundred two million, four hundred seventy-two thousand, one hundred forty-six".