Search a number
-
+
106001364 = 22374329347
BaseRepresentation
bin1100101000101…
…11001111010100
321101110102112110
412110113033110
5204114020424
614303551020
72424665610
oct624271724
9241412473
10106001364
1154920437
122b5bb470
1318c65301
1410114340
15948cc29
hex65173d4

106001364 has 48 divisors (see below), whose sum is σ = 289253888. Its totient is φ = 29580768.

The previous prime is 106001353. The next prime is 106001387. The reversal of 106001364 is 463100601.

It is a super-2 number, since 2×1060013642 = 22472578339720992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 106001364.

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, 11062 + ... + 18285.

Almost surely, 2106001364 is an apocalyptic number.

106001364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106001364 is an abundant number, since it is smaller than the sum of its proper divisors (183252524).

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

106001364 is a wasteful number, since it uses less digits than its factorization.

106001364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29404 (or 29402 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 106001364 is about 10295.6963824697. The cubic root of 106001364 is about 473.2643790757.

Adding to 106001364 its reverse (463100601), we get a palindrome (569101965).

The spelling of 106001364 in words is "one hundred six million, one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 84 86 129 172 258 301 516 602 903 1204 1806 3612 29347 58694 88041 117388 176082 205429 352164 410858 616287 821716 1232574 1261921 2465148 2523842 3785763 5047684 7571526 8833447 15143052 17666894 26500341 35333788 53000682 106001364