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105661310514 = 23192931960469
BaseRepresentation
bin110001001100111100…
…1111010011000110010
3101002201201101201021220
41202121321322120302
53212343243414024
6120312400325510
710430246214654
oct1423171723062
9332651351256
10105661310514
11408a1067521
1218589913896
139c6b682516
145184ca86d4
152b3626ee79
hex1899e7a632

105661310514 has 32 divisors (see below), whose sum is σ = 230115384000. Its totient is φ = 32216151744.

The previous prime is 105661310449. The next prime is 105661310581. The reversal of 105661310514 is 415013166501.

It is a super-2 number, since 2×1056613105142 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15976929 + ... + 15983540.

It is an arithmetic number, because the mean of its divisors is an integer number (7191105750).

Almost surely, 2105661310514 is an apocalyptic number.

105661310514 is an abundant number, since it is smaller than the sum of its proper divisors (124454073486).

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

105661310514 is a wasteful number, since it uses less digits than its factorization.

105661310514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31960522.

The product of its (nonzero) digits is 10800, while the sum is 33.

The spelling of 105661310514 in words is "one hundred five billion, six hundred sixty-one million, three hundred ten thousand, five hundred fourteen".

Divisors: 1 2 3 6 19 29 38 57 58 87 114 174 551 1102 1653 3306 31960469 63920938 95881407 191762814 607248911 926853601 1214497822 1821746733 1853707202 2780560803 3643493466 5561121606 17610218419 35220436838 52830655257 105661310514