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106141404 = 22317539817
BaseRepresentation
bin1100101001110…
…01011011011100
321101201112122010
412110321123130
5204133011104
614310551220
72426121105
oct624713334
9241645563
10106141404
1154a06676
122b668510
1318cb3c85
141014d3ac
1594b9489
hex65396dc

106141404 has 48 divisors (see below), whose sum is σ = 267206688. Its totient is φ = 32667648.

The previous prime is 106141381. The next prime is 106141417. The reversal of 106141404 is 404141601.

It is a super-2 number, since 2×1061414042 = 22531995286182432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5904 + ... + 15720.

It is an arithmetic number, because the mean of its divisors is an integer number (5566806).

Almost surely, 2106141404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106141404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133603344).

106141404 is an abundant number, since it is smaller than the sum of its proper divisors (161065284).

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

106141404 is a wasteful number, since it uses less digits than its factorization.

106141404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9894 (or 9892 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 106141404 is about 10302.4950376110. The cubic root of 106141404 is about 473.4726995994.

The spelling of 106141404 in words is "one hundred six million, one hundred forty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 12 17 34 51 53 68 102 106 159 204 212 318 636 901 1802 2703 3604 5406 9817 10812 19634 29451 39268 58902 117804 166889 333778 500667 520301 667556 1001334 1040602 1560903 2002668 2081204 3121806 6243612 8845117 17690234 26535351 35380468 53070702 106141404