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10104270400 = 2652723592
BaseRepresentation
bin10010110100100001…
…01110111001000000
3222002011222010020001
421122100232321000
5131143143123100
64350345325344
7505251611200
oct113220567100
928064863201
1010104270400
1143156629a4
121b5ba96854
13c50497933
146bbd46400
153e2107d6a
hex25a42ee40

10104270400 has 189 divisors, whose sum is σ = 29002843569. Its totient is φ = 3454671360.

The previous prime is 10104270367. The next prime is 10104270401. The reversal of 10104270400 is 407240101.

The square root of 10104270400 is 100520.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3637537344 + 6466733056 = 60312^2 + 80416^2 .

It is not an unprimeable number, because it can be changed into a prime (10104270401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 28145421 + ... + 28145779.

Almost surely, 210104270400 is an apocalyptic number.

10104270400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10104270400 is the 100520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10104270400

10104270400 is an abundant number, since it is smaller than the sum of its proper divisors (18898573169).

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

10104270400 is an frugal number, since it uses more digits than its factorization.

10104270400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The spelling of 10104270400 in words is "ten billion, one hundred four million, two hundred seventy thousand, four hundred".