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106321521024 = 273330764329
BaseRepresentation
bin110001100000101000…
…0011010100110000000
3101011102201200212212000
41203001100122212000
53220221302133044
6120502103104000
710452514005645
oct1430120324600
9334381625760
10106321521024
11410aa7aa444
1218732a42000
13a04539cb24
145208845dcc
152b741d2d69
hex18c141a980

106321521024 has 64 divisors (see below), whose sum is σ = 313796166000. Its totient is φ = 35440505856.

The previous prime is 106321521011. The next prime is 106321521041. The reversal of 106321521024 is 420125123601.

106321521024 is a `hidden beast` number, since 1 + 0 + 632 + 1 + 5 + 2 + 1 + 0 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1063215210242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15378709 + ... + 15385620.

Almost surely, 2106321521024 is an apocalyptic number.

It is an amenable number.

106321521024 is an abundant number, since it is smaller than the sum of its proper divisors (207474644976).

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

106321521024 is an equidigital number, since it uses as much as digits as its factorization.

106321521024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30764352 (or 30764334 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 106321521024 its reverse (420125123601), we get a palindrome (526446644625).

The spelling of 106321521024 in words is "one hundred six billion, three hundred twenty-one million, five hundred twenty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 30764329 61528658 92292987 123057316 184585974 246114632 276878961 369171948 492229264 553757922 738343896 830636883 984458528 1107515844 1476687792 1661273766 1968917056 2215031688 2953375584 3322547532 3937834112 4430063376 5906751168 6645095064 8860126752 11813502336 13290190128 17720253504 26580380256 35440507008 53160760512 106321521024