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106321410396 = 223231472027023
BaseRepresentation
bin110001100000100111…
…1111111100101011100
3101011102201111021002200
41203001033333211130
53220221240113041
6120502100451500
710452513035265
oct1430117774534
9334381437080
10106321410396
11410aa734313
12187329a9b90
13a045361676
14520881796c
152b741b01b6
hex18c13ff95c

106321410396 has 72 divisors (see below), whose sum is σ = 283329306624. Its totient is φ = 33567484320.

The previous prime is 106321410389. The next prime is 106321410487. The reversal of 106321410396 is 693014123601.

106321410396 is a `hidden beast` number, since 1 + 0 + 632 + 1 + 4 + 10 + 3 + 9 + 6 = 666.

It is a super-2 number, since 2×1063214103962 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 106321410396.

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, 961060 + ... + 1065963.

Almost surely, 2106321410396 is an apocalyptic number.

It is an amenable number.

106321410396 is an abundant number, since it is smaller than the sum of its proper divisors (177007896228).

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

106321410396 is a wasteful number, since it uses less digits than its factorization.

106321410396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2027111 (or 2027106 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

Adding to 106321410396 its reverse (693014123601), we get a palindrome (799335533997).

The spelling of 106321410396 in words is "one hundred six billion, three hundred twenty-one million, four hundred ten thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 47 62 93 94 124 141 186 188 279 282 372 423 558 564 846 1116 1457 1692 2914 4371 5828 8742 13113 17484 26226 52452 2027023 4054046 6081069 8108092 12162138 18243207 24324276 36486414 62837713 72972828 95270081 125675426 188513139 190540162 251350852 285810243 377026278 381080324 565539417 571620486 754052556 857430729 1131078834 1143240972 1714861458 2262157668 2953372511 3429722916 5906745022 8860117533 11813490044 17720235066 26580352599 35440470132 53160705198 106321410396