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105696454704 = 24317787164587
BaseRepresentation
bin110001001101111111…
…1111110100000110000
3101002211011112020001120
41202123333332200300
53212431243022304
6120320053502240
710431154020111
oct1423377764060
9332734466046
10105696454704
1140909990905
1218599641980
139c75a38ab9
145189816208
152b393b30d9
hex189bffe830

105696454704 has 80 divisors (see below), whose sum is σ = 289480007808. Its totient is φ = 33117336576.

The previous prime is 105696454693. The next prime is 105696454739. The reversal of 105696454704 is 407454696501.

It is a happy number.

It is a super-2 number, since 2×1056964547042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 559899 + ... + 724485.

Almost surely, 2105696454704 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 105696454704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144740003904).

105696454704 is an abundant number, since it is smaller than the sum of its proper divisors (183783553104).

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

105696454704 is a wasteful number, since it uses less digits than its factorization.

105696454704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165402 (or 165396 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The spelling of 105696454704 in words is "one hundred five billion, six hundred ninety-six million, four hundred fifty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 787 816 1574 2361 3148 4722 6296 9444 12592 13379 18888 26758 37776 40137 53516 80274 107032 160548 164587 214064 321096 329174 493761 642192 658348 987522 1316696 1975044 2633392 2797979 3950088 5595958 7900176 8393937 11191916 16787874 22383832 33575748 44767664 67151496 129529969 134302992 259059938 388589907 518119876 777179814 1036239752 1554359628 2072479504 2202009473 3108719256 4404018946 6217438512 6606028419 8808037892 13212056838 17616075784 26424113676 35232151568 52848227352 105696454704