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106001621 = 11731011307
BaseRepresentation
bin1100101000101…
…11010011010101
321101110102212222
412110113103111
5204114022441
614303552125
72424666425
oct624272325
9241412788
10106001621
1154920650
122b5bb645
1318c6546b
1410114485
15948cd4b
hex65174d5

106001621 has 16 divisors (see below), whose sum is σ = 118473408. Its totient is φ = 94032000.

The previous prime is 106001603. The next prime is 106001653. The reversal of 106001621 is 126100601.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 106001621 - 26 = 106001557 is a prime.

It is a super-2 number, since 2×1060016212 = 22472687309255282, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106001621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106001221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80450 + ... + 81756.

It is an arithmetic number, because the mean of its divisors is an integer number (7404588).

Almost surely, 2106001621 is an apocalyptic number.

106001621 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106001621 is a deficient number, since it is larger than the sum of its proper divisors (12471787).

106001621 is a wasteful number, since it uses less digits than its factorization.

106001621 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492.

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 106001621 is about 10295.7088634052. The cubic root of 106001621 is about 473.2647615514.

It can be divided in two parts, 10600 and 1621, that added together give a palindrome (12221).

The spelling of 106001621 in words is "one hundred six million, one thousand, six hundred twenty-one".

Divisors: 1 11 73 101 803 1111 1307 7373 14377 81103 95411 132007 1049521 1452077 9636511 106001621