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107757910225 = 52728321132
BaseRepresentation
bin110010001011011011…
…1110011100011010001
3101022010211112000102001
41210112313303203101
53231142011111400
6121300413554001
710533225060400
oct1442667634321
9338124460361
10107757910225
1141777592959
1218a73aa5901
13a213b4c774
14530350b637
152c0a364a6a
hex1916df38d1

107757910225 has 81 divisors (see below), whose sum is σ = 158735191953. Its totient is φ = 72354858240.

The previous prime is 107757910223. The next prime is 107757910237. The reversal of 107757910225 is 522019757701.

The square root of 107757910225 is 328265.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 54822944449 + 52934965776 = 234143^2 + 230076^2 .

It is not a de Polignac number, because 107757910225 - 21 = 107757910223 is a prime.

It is a super-2 number, since 2×1077579102252 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107757910223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 953609769 + ... + 953609881.

Almost surely, 2107757910225 is an apocalyptic number.

107757910225 is the 328265-th square number.

107757910225 is the 164133-rd centered octagonal number.

It is an amenable number.

107757910225 is a deficient number, since it is larger than the sum of its proper divisors (50977281728).

107757910225 is an frugal number, since it uses more digits than its factorization.

107757910225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 308700, while the sum is 46.

The spelling of 107757910225 in words is "one hundred seven billion, seven hundred fifty-seven million, nine hundred ten thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 83 113 175 245 415 565 581 791 1225 2075 2825 2905 3955 4067 5537 6889 9379 12769 14525 19775 20335 27685 34445 46895 48223 63845 65653 89383 101675 138425 172225 234475 241115 319225 328265 337561 446915 459571 625681 778457 1059827 1205575 1641325 1687805 2234575 2297855 3128405 3892285 5299135 5449199 7418789 8439025 11489275 15642025 19461425 26495675 27245995 37093945 38144393 51931523 87965641 136229975 185469725 190721965 259657615 439828205 615759487 953609825 1298288075 2199141025 3078797435 4310316409 15393987175 21551582045 107757910225