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101326104 = 233211314127
BaseRepresentation
bin1100000101000…
…01110100011000
321001122220021200
412002201310120
5201414413404
614015434200
72340154245
oct602416430
9231586250
10101326104
1152217890
1229b25960
1317cb9299
14d6585cc
158d67839
hex60a1d18

101326104 has 96 divisors (see below), whose sum is σ = 309104640. Its totient is φ = 29707200.

The previous prime is 101326079. The next prime is 101326123. The reversal of 101326104 is 401623101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22489 + ... + 26615.

It is an arithmetic number, because the mean of its divisors is an integer number (3219840).

Almost surely, 2101326104 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 101326104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154552320).

101326104 is an abundant number, since it is smaller than the sum of its proper divisors (207778536).

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

101326104 is a wasteful number, since it uses less digits than its factorization.

101326104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4181 (or 4174 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 101326104 is about 10066.0868265677. The cubic root of 101326104 is about 466.2016233496.

Adding to 101326104 its reverse (401623101), we get a palindrome (502949205).

The spelling of 101326104 in words is "one hundred one million, three hundred twenty-six thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 31 33 36 44 62 66 72 88 93 99 124 132 186 198 248 264 279 341 372 396 558 682 744 792 1023 1116 1364 2046 2232 2728 3069 4092 4127 6138 8184 8254 12276 12381 16508 24552 24762 33016 37143 45397 49524 74286 90794 99048 127937 136191 148572 181588 255874 272382 297144 363176 383811 408573 511748 544764 767622 817146 1023496 1089528 1151433 1407307 1535244 1634292 2302866 2814614 3070488 3268584 4221921 4605732 5629228 8443842 9211464 11258456 12665763 16887684 25331526 33775368 50663052 101326104