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106507775052 = 22327422649901
BaseRepresentation
bin110001100110001011…
…0111010110001001100
3101011220201011120100100
41203030112322301030
53221111442300202
6120532355131100
710460235102420
oct1431426726114
9334821146310
10106507775052
1141195953898
12187852a3a90
13a074b53503
14522548ab80
152b8572441c
hex18cc5bac4c

106507775052 has 36 divisors (see below), whose sum is σ = 307689128656. Its totient is φ = 30430792800.

The previous prime is 106507775009. The next prime is 106507775057. The reversal of 106507775052 is 250577705601.

It is a happy number.

106507775052 is a `hidden beast` number, since 10 + 65 + 0 + 7 + 77 + 505 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1065077750522 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106507774989 and 106507775007.

It is not an unprimeable number, because it can be changed into a prime (106507775057) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 211324699 + ... + 211325202.

Almost surely, 2106507775052 is an apocalyptic number.

106507775052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106507775052 is an abundant number, since it is smaller than the sum of its proper divisors (201181353604).

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

106507775052 is a wasteful number, since it uses less digits than its factorization.

106507775052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422649918 (or 422649913 counting only the distinct ones).

The product of its (nonzero) digits is 514500, while the sum is 45.

The spelling of 106507775052 in words is "one hundred six billion, five hundred seven million, seven hundred seventy-five thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 422649901 845299802 1267949703 1690599604 2535899406 2958549307 3803849109 5071798812 5917098614 7607698218 8875647921 11834197228 15215396436 17751295842 26626943763 35502591684 53253887526 106507775052