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106184372 = 2272432293
BaseRepresentation
bin1100101010000…
…11111010110100
321101210201120112
412111003322310
5204140344442
614311522152
72426360300
oct625037264
9241721515
10106184372
1154a35988
122b689358
1318cca6b8
1410160d00
1594c7082
hex6543eb4

106184372 has 54 divisors (see below), whose sum is σ = 222060258. Its totient is φ = 44297568.

The previous prime is 106184357. The next prime is 106184381. The reversal of 106184372 is 273481601.

It can be written as a sum of positive squares in only one way, i.e., 104734756 + 1449616 = 10234^2 + 1204^2 .

It is a super-2 number, since 2×1061843722 = 22550241714068768, 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 17 ways as a sum of consecutive naturals, for example, 362258 + ... + 362550.

It is an arithmetic number, because the mean of its divisors is an integer number (4112227).

Almost surely, 2106184372 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 106184372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111030129).

106184372 is an abundant number, since it is smaller than the sum of its proper divisors (115875886).

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

106184372 is a wasteful number, since it uses less digits than its factorization.

106184372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 106184372 is about 10304.5801467115. The cubic root of 106184372 is about 473.5365811435.

The spelling of 106184372 in words is "one hundred six million, one hundred eighty-four thousand, three hundred seventy-two".

Divisors: 1 2 4 7 14 28 43 49 86 98 172 196 293 301 586 602 1172 1204 1849 2051 2107 3698 4102 4214 7396 8204 8428 12599 12943 14357 25198 25886 28714 50396 51772 57428 88193 90601 176386 181202 352772 362404 541757 617351 1083514 1234702 2167028 2469404 3792299 7584598 15169196 26546093 53092186 106184372