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102455106 = 231319257269
BaseRepresentation
bin1100001101101…
…01011101000010
321010210020222120
412012311131002
5202212030411
614055545110
72352565635
oct606653502
9233706876
10102455106
1152919046
122a38b196
13182c3130
14d86dc1c
158edc106
hex61b5742

102455106 has 64 divisors (see below), whose sum is σ = 234057600. Its totient is φ = 29638656.

The previous prime is 102455081. The next prime is 102455131. The reversal of 102455106 is 601554201.

It is an interprime number because it is at equal distance from previous prime (102455081) and next prime (102455131).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 380740 + ... + 381008.

It is an arithmetic number, because the mean of its divisors is an integer number (3657150).

Almost surely, 2102455106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102455106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117028800).

102455106 is an abundant number, since it is smaller than the sum of its proper divisors (131602494).

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

102455106 is a wasteful number, since it uses less digits than its factorization.

102455106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563.

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 102455106 is about 10122.0109662063. The cubic root of 102455106 is about 467.9267454194.

It can be divided in two parts, 10245 and 5106, that added together give a palindrome (15351).

The spelling of 102455106 in words is "one hundred two million, four hundred fifty-five thousand, one hundred six".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 247 257 269 494 514 538 741 771 807 1482 1542 1614 3341 3497 4883 5111 6682 6994 9766 10023 10222 10491 14649 15333 20046 20982 29298 30666 63479 66443 69133 126958 132886 138266 190437 199329 207399 380874 398658 414798 898729 1313527 1797458 2627054 2696187 3940581 5392374 7881162 17075851 34151702 51227553 102455106