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102444104 = 2372261337
BaseRepresentation
bin1100001101100…
…10110001001000
321010202200220002
412012302301020
5202211202404
614055422132
72352521600
oct606626110
9233680802
10102444104
1152910854
122a384948
13182bb119
14d869c00
158ed8c1e
hex61b2c48

102444104 has 24 divisors (see below), whose sum is σ = 223443990. Its totient is φ = 43904448.

The previous prime is 102444101. The next prime is 102444107. The reversal of 102444104 is 401444201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102444101) and next prime (102444107).

It can be written as a sum of positive squares in only one way, i.e., 100200100 + 2244004 = 10010^2 + 1498^2 .

It is not an unprimeable number, because it can be changed into a prime (102444101) 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 5 ways as a sum of consecutive naturals, for example, 130277 + ... + 131060.

Almost surely, 2102444104 is an apocalyptic number.

102444104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

102444104 is an abundant number, since it is smaller than the sum of its proper divisors (120999886).

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

102444104 is a wasteful number, since it uses less digits than its factorization.

102444104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261357 (or 261346 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 102444104 is about 10121.4674825343. The cubic root of 102444104 is about 467.9099955975.

Adding to 102444104 its reverse (401444201), we get a palindrome (503888305).

The spelling of 102444104 in words is "one hundred two million, four hundred forty-four thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 261337 522674 1045348 1829359 2090696 3658718 7317436 12805513 14634872 25611026 51222052 102444104