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102241104 = 2437973137
BaseRepresentation
bin1100001100000…
…01001101010000
321010101101102120
412012001031100
5202133203404
614051214240
72351015010
oct606011520
9233341376
10102241104
1152792289
122a2a7380
13182498c4
14d815c40
158e989d9
hex6181350

102241104 has 80 divisors (see below), whose sum is σ = 305063808. Its totient is φ = 28901376.

The previous prime is 102241103. The next prime is 102241123. The reversal of 102241104 is 401142201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102241103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31024 + ... + 34160.

Almost surely, 2102241104 is an apocalyptic number.

102241104 is a gapful number since it is divisible by the number (14) 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 102241104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152531904).

102241104 is an abundant number, since it is smaller than the sum of its proper divisors (202822704).

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

102241104 is a wasteful number, since it uses less digits than its factorization.

102241104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3252 (or 3246 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 102241104 is about 10111.4343196205. The cubic root of 102241104 is about 467.6007260062.

Adding to 102241104 its reverse (401142201), we get a palindrome (503383305).

The spelling of 102241104 in words is "one hundred two million, two hundred forty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 97 112 168 194 291 336 388 582 679 776 1164 1358 1552 2037 2328 2716 3137 4074 4656 5432 6274 8148 9411 10864 12548 16296 18822 21959 25096 32592 37644 43918 50192 65877 75288 87836 131754 150576 175672 263508 304289 351344 527016 608578 912867 1054032 1217156 1825734 2130023 2434312 3651468 4260046 4868624 6390069 7302936 8520092 12780138 14605872 17040184 25560276 34080368 51120552 102241104