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106252686305 = 5118117993681
BaseRepresentation
bin110001011110100100…
…1110101001111100001
3101011020221011201100222
41202331021311033201
53220101141430210
6120451203452425
710451016634433
oct1427511651741
9334227151328
10106252686305
1141074964947
1218713987115
13a03404b81c
1451dd648653
152b6d137655
hex18bd2753e1

106252686305 has 8 divisors (see below), whose sum is σ = 127611192744. Its totient is φ = 84930169600.

The previous prime is 106252686277. The next prime is 106252686307. The reversal of 106252686305 is 503686252601.

It can be written as a sum of positive squares in 4 ways, for example, as 27484334656 + 78768351649 = 165784^2 + 280657^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 106252686305 - 210 = 106252685281 is a prime.

It is a super-2 number, since 2×1062526863052 (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 (106252686307) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8990936 + ... + 9002745.

It is an arithmetic number, because the mean of its divisors is an integer number (15951399093).

Almost surely, 2106252686305 is an apocalyptic number.

It is an amenable number.

106252686305 is a deficient number, since it is larger than the sum of its proper divisors (21358506439).

106252686305 is a wasteful number, since it uses less digits than its factorization.

106252686305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17994867.

The product of its (nonzero) digits is 518400, while the sum is 44.

The spelling of 106252686305 in words is "one hundred six billion, two hundred fifty-two million, six hundred eighty-six thousand, three hundred five".

Divisors: 1 5 1181 5905 17993681 89968405 21250537261 106252686305