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107574160225 = 527293712
BaseRepresentation
bin110010000101111101…
…0110110101101100001
3101021200000202112210111
41210023322312231201
53230302441111400
6121230251331321
710525534163200
oct1441372665541
9337600675714
10107574160225
1141692899854
1218a22450b41
13a1b4a64a5c
1452c6d59237
152be916a3ba
hex190beb6b61

107574160225 has 27 divisors (see below), whose sum is σ = 155186797971. Its totient is φ = 73757266800.

The previous prime is 107574160201. The next prime is 107574160241. The reversal of 107574160225 is 522061475701.

The square root of 107574160225 is 327985.

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

It can be written as a sum of positive squares in only one way, i.e., 38726697681 + 68847462544 = 196791^2 + 262388^2 .

It is not a de Polignac number, because 107574160225 - 27 = 107574160097 is a prime.

It is a super-2 number, since 2×1075741602252 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11474790 + ... + 11484160.

Almost surely, 2107574160225 is an apocalyptic number.

107574160225 is the 327985-th square number.

107574160225 is the 163993-rd centered octagonal number.

It is an amenable number.

107574160225 is a deficient number, since it is larger than the sum of its proper divisors (47612637746).

107574160225 is an frugal number, since it uses more digits than its factorization.

107574160225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18766 (or 9383 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 40.

The spelling of 107574160225 in words is "one hundred seven billion, five hundred seventy-four million, one hundred sixty thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 9371 46855 65597 234275 327985 459179 1639925 2295895 11479475 87815641 439078205 614709487 2195391025 3073547435 4302966409 15367737175 21514832045 107574160225