102587472 has 100 divisors (see below), whose sum is σ = 319810260. Its totient is φ = 31560192.

The previous prime is 102587467. The next prime is 102587477. The reversal of 102587472 is 274785201.

102587472 is a `hidden beast` number, since 1 + 0 + 2 + 587 + 4 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (102587467) and next prime (102587477).

It can be written as a sum of positive squares in 2 ways, for example, as 18974736 + 83612736 = 4356^2 + 9144^2 .

It is a super-2 number, since 2×102587472² = 21048378822701568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102587477) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13804 + ... + 19892.

Almost surely, 2^102587472 is an apocalyptic number.

102587472 is a gapful number since it is divisible by the number (12) 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 102587472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159905130).

102587472 is an abundant number, since it is smaller than the sum of its proper divisors (217222788).

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

102587472 is a wasteful number, since it uses less digits than its factorization.

102587472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6122 (or 6107 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 102587472 is about 10128.5473785731. The cubic root of 102587472 is about 468.1281700234.

The spelling of 102587472 in words is "one hundred two million, five hundred eighty-seven thousand, four hundred seventy-two".